Conformal field theory
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Publication:674410
zbMath0869.53052MaRDI QIDQ674410
David Sénéchal, Philippe Di Francesco, Pierre Mathieu
Publication date: 3 March 1997
Published in: Graduate Texts in Contemporary Physics (Search for Journal in Brave)
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Physics (00A79) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics (82-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01)
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representations in two dimensions ⋮ \(\widehat{\mathfrak{sl}}(n)_N\) WZW conformal blocks from \(SU(N)\) instanton partition functions on \(\mathbb{C}^2/\mathbb{Z}_N\) ⋮ \(U(1)\) spin Chern-Simons theory and Arf invariants in two dimensions ⋮ Logarithmic connections, WZNW action, and moduli of parabolic bundles on the sphere ⋮ Handle operators in string theory ⋮ QFT and topology in two dimensions: \( \operatorname{SL}(2, \mathbb{R})\)-symmetry and the de Sitter universe ⋮ On the \(D_n\) spin vertex models for odd \(n\) ⋮ The quantum sine-Gordon model with quantum circuits ⋮ \(\lambda\)-Deformations in the upper-half plane ⋮ Scale without conformal invariance in membrane theory ⋮ On the free energy of solvable lattice models ⋮ Coherent and dissipative dynamics at quantum phase transitions ⋮ Affine Pieri rule for periodic Macdonald spherical functions and fusion rings ⋮ \(T \overline{T} \)-flow effects on torus partition functions ⋮ State-operator correspondence in celestial conformal field theory ⋮ Averaging over moduli in deformed WZW models ⋮ Thermalization in large-\(N\) CFTs ⋮ Characters, coadjoint orbits and Duistermaat-Heckman integrals ⋮ On affine coordinates of the tau-function for open intersection numbers ⋮ On magnetic forces and work ⋮ Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials ⋮ Conformal field theories with sporadic group symmetry ⋮ Brick walls and AdS/CFT ⋮ GCA in 2d ⋮ Classification of \(\mathcal{N} = 6\) superconformal theories of ABJM type ⋮ Algorithms for entanglement renormalization: boundaries, impurities and interfaces ⋮ On the KNS conjecture in type \(E\) ⋮ Spinning conformal blocks ⋮ Spinning conformal correlators ⋮ Liouville correlation functions from four-dimensional gauge theories ⋮ Symmetries of celestial amplitudes ⋮ Four-point conformal blocks with three heavy background operators ⋮ Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block ⋮ Entanglement entropy in generalised quantum Lifshitz models ⋮ Exact correlation functions in conformal fishnet theory ⋮ Cut-and-join operators and Macdonald polynomials from the 3-Schur functions ⋮ Condensates of interacting non-abelian \(\mathrm{SO}(5)_{ N_f}\) anyons ⋮ Crossing, modular averages and \(N \leftrightarrow k\) in WZW models ⋮ Subleading eikonal, AdS/CFT and double stress tensors ⋮ Rényi entanglement entropies for the compactified massless boson with open boundary conditions ⋮ Localized thermal states and negative energy ⋮ Marginal deformations of 3d \(\mathcal{N} = 4\) linear quiver theories ⋮ Modular invariance, Tauberian theorems and microcanonical entropy ⋮ Some exceptional extensions of Virasoro vertex operator algebras ⋮ Simple perturbatively traversable wormholes from bulk fermions ⋮ Shaping lattice through irrelevant perturbation: Ising model ⋮ The complex life of hydrodynamic modes ⋮ New \(\mathcal{N} = 2 \mathrm{SuperBMS}_3\) algebra and invariant dual theory for 3D supergravity ⋮ The anisotropic chiral boson ⋮ Correlation function of modular Hamiltonians ⋮ Cylindric symmetric functions and positivity ⋮ Three-point functions in \(\mathrm{AdS}_3/\mathrm{CFT}_2\) holography ⋮ Generalized ADHM equations from marginal deformations in open superstring field theory ⋮ Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras ⋮ Assembling integrable \({\sigma}\)-models as affine Gaudin models ⋮ Renormalization of gravitational Wilson lines ⋮ Strings on $\mathrm{AdS}_3 \times S^3 \times S^3 \times S^1$ ⋮ Lifshitz scaling, microstate counting from number theory and black hole entropy ⋮ Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral ⋮ A supersymmetric enhancement of \( \mathcal{N} = 1 \)holographic minimal model ⋮ Quantum consistency in supersymmetric theories with R-symmetry in curved space ⋮ \( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects ⋮ Towards three-dimensional conformal probability ⋮ Monster anatomy ⋮ BMS characters and modular invariance ⋮ Conformal blocks, \(q\)-combinatorics, and quantum group symmetry ⋮ Schramm's formula and the Green's function for multiple SLE ⋮ A new class of irreducible Virasoro modules from tensor product ⋮ Asymptotic analysis of Dotsenko-Fateev integrals ⋮ Polyakov's formulation of \(2d\) bosonic string theory ⋮ Planar Ising magnetization field. I: Uniqueness of the critical scaling limit ⋮ Hairy black hole entropy and the role of solitons in three dimensions ⋮ Explicit and spontaneous breaking of \(\operatorname{SU}(3)\) into its finite subgroups ⋮ Moduli space coordinates and excited state \(g\)-functions ⋮ The large central charge limit of conformal blocks ⋮ Loop equations and topological recursion for the arbitrary-\(\beta\) two-matrix model ⋮ Holographic predictions for cosmological 3-point functions ⋮ Calabi-Yau varieties: arithmetic, geometry and physics. Lecture notes on concentrated graduate courses, Toronto, Canada, July 1 -- December 31, 2013 ⋮ Hamiltonian anomalies from extended field theories ⋮ \(W\)-algebras and higher analogues of the Knizhnik-Zamolodchikov equations ⋮ \(B_k\) spin vertex models and quantum algebras ⋮ KdV charges and the generalized torus partition sum in \(T \overline{T}\) deformation ⋮ On \(\mathrm{SO}(N)\) spin vertex models ⋮ The genus two free boson in Arakelov geometry ⋮ Exact four-point function and OPE for an interacting quantum field theory with space/time anisotropic scale invariance ⋮ On partition functions of refined Chern-Simons theories on \(S^3\) ⋮ Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models ⋮ Lifting 1/4-BPS states in \( \mathrm{AdS}_3 \times S^3 \times T^4\) ⋮ Three-dimensional de Sitter horizon thermodynamics ⋮ Critical 1- and 2-point spin correlations for the \(O(2)\) model in \(3d\) bounded domains ⋮ Crossing-symmetric twist field correlators and entanglement negativity in minimal CFTs ⋮ Symmetry resolved relative entropies and distances in conformal field theory ⋮ Highest weight modules over pre-exp-polynomial Lie algebras ⋮ On conformal field theory of \(sLE(\kappa ,\rho )\) ⋮ Integrable model of boundary interaction: the paperclip ⋮ On conformal field theory and stochastic Loewner evolution ⋮ Local scale-invariance and ageing in noisy systems ⋮ Dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model ⋮ On the construction of asymmetric orbifold models ⋮ From \(S\)-matrices to the thermodynamic Bethe ansatz ⋮ Logarithmic limits of minimal models ⋮ A universal conformal field theory approach to the chiral persistent currents in the mesoscopic fractional quantum Hall states ⋮ The \(O(n)\) model in the \(n\rightarrow 0\) limit (self-avoiding-walks) and logarithmic conformal field theory ⋮ Continuum limit of the integrable \(sl(2/1)3-\bar 3\) superspin chain ⋮ The arboreal gas and the supersphere sigma model ⋮ Quantum field theories and critical phenomena on defects ⋮ Y-formalism in pure spinor quantization of superstrings ⋮ Chern-Simons theory, 2d Yang-Mills, and Lie algebra wanderers ⋮ Twisted boundary states and representation of generalized fusion algebra ⋮ Complex-temperature phase diagram of Potts and RSOS models ⋮ Reflection factors and exact \(g\)-functions for purely elastic scattering theories ⋮ Generalised permutation branes on a product of cosets \(G_{k_{1}}/H\times G_{k_{2}}/H\) ⋮ Character decomposition of Potts model partition functions. I: Cyclic geometry ⋮ The extended algebra of the \(\text SU(2)\) Wess-Zumino-Witten models ⋮ Partition functions of pure spinors ⋮ Brane partons and singleton strings ⋮ Unphysical diagonal modular invariants ⋮ Construction of spin models displaying quantum criticality from quantum field theory ⋮ Quantum spin models for the \(\operatorname{SU}(n)_1\) Wess-Zumino-Witten model ⋮ CFT/gravity correspondence on the isolated horizon ⋮ Rational differential systems, loop equations, and application to the \(q\)th reductions of KP ⋮ Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces ⋮ Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands ⋮ Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models ⋮ Exact solution of the 2d dimer model: corner free energy, correlation functions and combinatorics ⋮ On the road map of Vogel's plane ⋮ Warped conformal field theory as lower spin gravity ⋮ Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states ⋮ Competing orders in one-dimensional half-integer fermionic cold atoms: a conformal field theory approach ⋮ On explicit free field realization of current algebras ⋮ The bosonic string on string-size tori from double field theory ⋮ One loop amplitude from null string ⋮ A conformal block Farey tail ⋮ The \(W_N\) minimal model classification ⋮ Phenomenology of local scale invariance: From conformal invariance to dynamical scaling ⋮ \(\mathcal N =1\) conformal superspace in four dimensions ⋮ Finite level geometry of fractional branes ⋮ \(\mathrm{gl}(4| 4)\) current superalgebra: free field realization and screening currents ⋮ Commutative algebras in Fibonacci categories ⋮ Towards the construction of local logarithmic conformal field theories ⋮ Harmonic measure and winding of random conformal paths: a Coulomb gas perspective ⋮ Charges of dyons \({\mathcal N}=2\) in supersymmetric gauge theory ⋮ The Gaussian free field and SLE\(_{4}\) on doubly connected domains ⋮ Extremal and nonextremal Kerr/CFT correspondences ⋮ On the percolation BCFT and the crossing probability of Watts ⋮ The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology ⋮ The free-fermionic \(C_2^{(1)}\) loop model, double dimers and Kashaev's recurrence ⋮ Geometry of branes on supergroups ⋮ A worm algorithm for the fully-packed loop model ⋮ \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study ⋮ Membranes with a boundary ⋮ On the quantum invariants for the spherical Seifert manifolds ⋮ Gauge theories on de Sitter space and Killing vectors ⋮ Differential invariant algebras of Lie pseudo-groups ⋮ On the Landau-gauge adjoint quark propagator ⋮ The bootstrap program for boundary \(\mathrm{CFT}_d\) ⋮ M-theoretic derivations of 4d-2d dualities: from a geometric Langlands duality for surfaces, to the AGT correspondence, to integrable systems ⋮ CMB from CFT ⋮ Relative entropy and holography ⋮ Lifshitz as a deformation of anti-de Sitter ⋮ Conical defects and \( \mathcal{N}=2 \) higher spin holography ⋮ Supersymmetric holography on \(\mathrm{AdS}_{3}\) ⋮ Hyperbolic deformation of the strip-equation and the accessory parameters for the torus ⋮ Spontaneously broken conformal symmetry: dealing with the trace anomaly ⋮ Constraints on 2d CFT partition functions ⋮ Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity ⋮ Generally covariant vs. gauge structure for conformal field theories ⋮ Irreducible Virasoro modules from irreducible Weyl modules ⋮ The orbifold transform and its applications ⋮ ODE/IM correspondence and modified affine Toda field equations ⋮ BRST cohomology of timelike Liouville theory ⋮ Boundary correlators in WZW model on \( \mathrm{AdS}_2\) ⋮ Deligne categories in lattice models and quantum field theory, \textit{or} making sense of O(N) symmetry with non-integer N ⋮ Chiral decoupling from irrelevant deformations ⋮ Current-current deformations, conformal integrals and correlation functions ⋮ Acoustic cloaking: geometric transform, homogenization and a genetic algorithm ⋮ Holographic probes of inner horizons ⋮ On even spin \({\mathcal{W}}_{\infty }\) ⋮ Massive spinning bosons on the celestial sphere ⋮ Lightcone expansions of conformal blocks in closed form ⋮ Check-operators and quantum spectral curves ⋮ Two-dimensional current algebras and affine fusion product ⋮ The extended algebra of the minimal models ⋮ Enlarged symmetry algebras of spin chains, loop models, and \(S\)-matrices ⋮ Associative-algebraic approach to logarithmic conformal field theories ⋮ Y-formalism and \(b\) ghost in the non-minimal pure spinor formalism of superstrings ⋮ Twisted logarithmic modules of vertex algebras ⋮ A solvable deformation of quantum mechanics ⋮ A short guide to orbifold deconstruction ⋮ Boundary and interface CFTs from the conformal bootstrap ⋮ Quantum local quench, AdS/BCFT and Yo-Yo string ⋮ The periodic \(s(2|1)\) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at \(c = 0\) ⋮ Modular invariance and entanglement entropy ⋮ Chiral operators in two-dimensional \((0,2)\) theories and a test of triality ⋮ Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips ⋮ Further holographic investigations of big bang singularities ⋮ A topologically twisted index for three-dimensional supersymmetric theories ⋮ Worldline approach to semi-classical conformal blocks ⋮ Thermalization with chemical potentials, and higher spin black holes ⋮ Virasoro conformal blocks in closed form ⋮ Universal corner entanglement from twist operators ⋮ Entanglement scrambling in 2d conformal field theory ⋮ Exploring \(\mathcal W_{\infty}\) in the quadratic basis ⋮ On the four-point function of the stress-energy tensors in a CFT ⋮ Topological entanglement entropy, ground state degeneracy and holography ⋮ Entanglement entropy for descendent local operators in 2D CFTs ⋮ On classical and semiclassical properties of the Liouville theory with defects ⋮ Warped Weyl fermion partition functions ⋮ Virasoro conformal blocks and thermality from classical background fields ⋮ Universal bounds in even-spin CFTs ⋮ Holographic Rényi entropy for two-dimensional \( \mathcal{N}=\left(1,\;1\right) \) superconformal field theory ⋮ Semiclassical Virasoro blocks from \(\mathrm{AdS}_{3}\) gravity ⋮ The moduli space of instantons on an ALE space from \(3d\) \(\mathcal{N}=4 \) field theories ⋮ Modular data: the algebraic combinatorics of conformal field theory ⋮ A family of simple weight modules over the Virasoro algebra ⋮ Positivity and periodicity of \(Q\)-systems in the WZW fusion ring ⋮ Disorder operators and their descendants ⋮ Two-dimensional \(O(n)\) models and logarithmic CFTs ⋮ Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions ⋮ BTZ one-loop determinants via the Selberg zeta function for general spin ⋮ Entropy flow in near-critical quantum circuits ⋮ Imaginary multiplicative chaos: moments, regularity and connections to the Ising model ⋮ BMS modular diaries: torus one-point function ⋮ More on Wilson toroidal networks and torus blocks ⋮ String defects, supersymmetry and the Swampland ⋮ Symmetry resolved entanglement in integrable field theories via form factor bootstrap ⋮ Brownian loops, layering fields and imaginary Gaussian multiplicative chaos ⋮ On universal quantum dimensions ⋮ Finite size and finite temperature studies of the \(\operatorname{osp}(1|2)\) spin chain ⋮ Free compact boson on branched covering of the torus ⋮ Complexity of quantum impurity problems ⋮ Galilean contractions of \(W\)-algebras ⋮ Chaos and relative entropy ⋮ \(\mathbb{Z}_2\) boundary twist fields and the moduli space of D-branes ⋮ Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms ⋮ Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine ⋮ \(\mathcal{N}=(3,3)\) holography on \(\mathrm{AdS}_{3} \times S^3 \times S^3 \times S^1/ \mathbb{Z}_2\) ⋮ Symmetry enhancement and closing of knots in 3d/3d correspondence ⋮ Ising model: local spin correlations and conformal invariance ⋮ Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain ⋮ AdS asymptotic symmetries from CFT mirrors ⋮ Rationalizing CFTs and anyonic imprints on Higgs branches ⋮ Holographic correlators in $\mathrm{AdS}_3$ ⋮ Multiplets of superconformal symmetry in diverse dimensions ⋮ On truncations of the Chalker-Coddington model ⋮ Chiral Y junction of quantum spin chains ⋮ Ishibashi states, topological orders with boundaries and topological entanglement entropy. I ⋮ Recursive representations of arbitrary Virasoro conformal blocks ⋮ The most irrational rational theories ⋮ Towards a classification of two-character rational conformal field theories ⋮ Sets of rigged paths with Virasoro characters ⋮ Relating the archetypes of logarithmic conformal field theory ⋮ The half-infinite XXZ chain in Onsager's approach ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Modular data and Verlinde formulae for fractional level WZW models. II ⋮ Truncated conformal space approach for perturbed Wess-Zumino-Witten \(\mathrm{SU}(2)_k\) models ⋮ Local logarithmic correlators as limits of Coulomb Gas integrals ⋮ Modular differential equations for characters of RCFT ⋮ Symmetries, horizons, and black hole entropy ⋮ A staggered six-vertex model with non-compact continuum limit ⋮ Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits ⋮ Horizons, constraints, and black hole entropy ⋮ Anyons and the quantum Hall effect -- a pedagogical review ⋮ Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)] ⋮ Towards physically motivated proofs of the Poincaré and geometrization conjectures ⋮ Anomalous BRST complexes for noncritical massive strings ⋮ Gauge theories on A(dS) space and Killing vectors ⋮ Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 ⋮ SLE for theoretical physicists ⋮ Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities ⋮ New strings for old Veneziano amplitudes. II: group-theoretic treatment ⋮ A class of simple weight Virasoro modules ⋮ A solution space for a system of null-state partial differential equations. I ⋮ A solution space for a system of null-state partial differential equations. II ⋮ A solution space for a system of null-state partial differential equations. III ⋮ A solution space for a system of null-state partial differential equations. IV ⋮ Torus \(n\)-point functions for \(\mathbb R\)-graded vertex operator superalgebras and continuous fermion orbifolds ⋮ A monomial basis for the Virasoro minimal series \(M(p,p')\): the case \(1<p'/p<2\) ⋮ Abelian and non-abelian branes in WZW models and gerbes ⋮ Nonzero level Harish-Chandra modules over the Virasoro-like algebra ⋮ Quotients of representation rings ⋮ Light-front and conformal field theories in two dimensions ⋮ Twisted logarithmic modules of free field algebras ⋮ Adjoint affine fusion and tadpoles ⋮ Bogomolov multiplier, double class-preserving automorphisms, and modular invariants for orbifolds ⋮ Level bounds for exceptional quantum subgroups in rank two ⋮ On the definition and K-theory realization of a modular functor ⋮ Boundary CFT and tensor network approach to surface critical phenomena of the tricritical 3-state Potts model ⋮ Building bulk geometry from the tensor Radon transform ⋮ Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras ⋮ Free-field realizations of the W𝒜 n , N -algebra ⋮ Modularity of Bershadsky-Polyakov minimal models ⋮ Spin generalizations of the Benjamin-Ono equation ⋮ Lorentzian 2D CFT from the pAQFT perspective ⋮ All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory ⋮ Two-dimensional conformal field theories with matrix-valued level ⋮ Vertex algebras according to Isaac Newton ⋮ The action of HRT-areas as operators in semiclassical gravity ⋮ Finite temperature corrections to black hole quasinormal modes from 2D CFT ⋮ Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions ⋮ Elements of celestial conformal field theory ⋮ Slit-strip Ising boundary conformal field theory. I: Discrete and continuous function spaces ⋮ Dimension and dimensional reduction in quantum gravity ⋮ More on cosmological gravitational waves and their memories ⋮ Celestial Liouville theory for Yang-Mills amplitudes ⋮ Irreversibility of the renormalization group flow in non-unitary quantum field theory ⋮ Multi-charged moments of two intervals in conformal field theory ⋮ Celestial Yang-Mills amplitudes and \(D = 4\) conformal blocks ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ Entanglement entropy and modular Hamiltonian of free fermion with deformations on a torus ⋮ Multi-instantons in minimal string theory and in matrix integrals ⋮ On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry ⋮ Yukawa interactions at large charge ⋮ Duality defects in \(E_8\) ⋮ Conformal field theory from lattice fermions ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ The Brownian loop soup stress-energy tensor ⋮ Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions ⋮ Measures of spin ordering in the Potts model with a generalized external magnetic field ⋮ Field-theoretic functional renormalization group formalism for non-Fermi liquids and its application to the antiferromagnetic quantum critical metal in two dimensions ⋮ Fibonacci-type orbifold data in Ising modular categories ⋮ Quantum dimensions from local operator excitations in the Ising model ⋮ A formula for crossing probabilities of critical systems inside polygons ⋮ Free fermion cyclic/symmetric orbifold CFTs and entanglement entropy ⋮ DDF operators in the hybrid formalism ⋮ Nonlinear automorphism of the conformal algebra in 2D and continuous \(\sqrt{T\bar{T}}\) deformations ⋮ Intrinsic approach to 1 + 1D Carrollian conformal field theory ⋮ \(p\)-adic vertex operator algebras ⋮ Non-Hermitian Hamiltonian deformations in quantum mechanics ⋮ Wilson lines construction of \(\mathfrak{sl}_3\) toroidal conformal blocks ⋮ Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics ⋮ Third-Order Fermionic and Fourth-Order Bosonic Operators ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ SLE local martingales in logarithmic representations ⋮ Numerical study of Schramm–Loewner evolution in the random 3-state Potts model ⋮ Universal behavior of entanglement in 2D quantum critical dimer models ⋮ Quantum spin Hamiltonians for theSU(2)kWZW model ⋮ On the form factors of local operators in the lattice sine–Gordon model ⋮ Off-critical logarithmic minimal models ⋮ Kenneth Geddes Wilson, 1936–2013, an appreciation ⋮ Entanglement negativity in extended systems: a field theoretical approach ⋮ Entanglement negativity in the critical Ising chain ⋮ Entanglement negativity and conformal field theory: a Monte Carlo study ⋮ Logarithmic corrections to the free energy from sharp corners with angle 2π ⋮ Hypotrochoids in conformal restriction systems and Virasoro descendants ⋮ Truncated conformal space approach for 2D Landau–Ginzburg theories ⋮ Random loops and conformal field theory ⋮ Energy flow and fluctuations in non-equilibrium conformal field theory on star graphs ⋮ Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT ⋮ Bosonic fractional quantum Hall states on the torus from conformal field theory ⋮ Logarithmic superconformal minimal models ⋮ Quantum Ising chains with boundary fields ⋮ Observation of Schramm–Loewner evolution on the geometrical clusters of the Ising model ⋮ Quantum phase transition in the spin-anisotropic quantum spherical model ⋮ Conformal invariance in three dimensional percolation ⋮ Lattice Laughlin states on the torus from conformal field theory ⋮ Chern–Simons theory encoded on a spin chain ⋮ A hydrodynamic approach to non-equilibrium conformal field theories ⋮ Logarithmic minimal models with Robin boundary conditions ⋮ Conformal field theory out of equilibrium: a review ⋮ Renyi entanglement entropies of descendant states in critical systems with boundaries: conformal field theory and spin chains ⋮ Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain ⋮ On superuniversality in theq-state Potts model with quenched disorder ⋮ Critical Casimir force scaling functions of the two-dimensional Ising model at finite aspect ratios ⋮ Singular dynamics and emergence of nonlocality in long-range quantum models ⋮ Conformal partition functions of critical percolation fromD3thermodynamic Bethe Ansatz equations ⋮ Numerical calculations on the relative entanglement entropy in critical spin chains ⋮ Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks ⋮ Supersymmetric quantum spherical spins ⋮ Conformal bootstrap for percolation and polymers ⋮ A bulk localized state and new holographic renormalization group flow in 3D spin-3 gravity ⋮ Two-dimensional massless light-front fields and conformal field theory ⋮ From Vertex Operator Algebras to Conformal Nets and Back ⋮ Liouville quantum gravity on complex tori ⋮ Quantum Yang-Baxter equation and constantR-matrix over Grassmann algebra ⋮ Black Hole Thermodynamics and Statistical Mechanics ⋮ Uq(sln) web models and Zn spin interfaces ⋮ Generalized polynomial modules over the Virasoro algebra ⋮ Hilbert Space Decomposition for Coulomb Blockade in Fabry–Pérot Interferometers ⋮ Quantum dimensions and quantum Galois theory ⋮ Critical points in the CP N−1 model ⋮ Character rings and fusion algebras ⋮ Multiple-SLE κ connectivity weights for rectangles, hexagons, and octagons ⋮ Lattice models from CFT on surfaces with holes: I. Torus partition function via two lattice cells ⋮ Topological aspects of the critical three-state Potts model ⋮ Quantum generalized hydrodynamics of the Tonks–Girardeau gas: density fluctuations and entanglement entropy ⋮ Critical points of the random cluster model with Newman–Ziff sampling ⋮ Berezinskii–Kosterlitz–Thouless transition and criticality of an elliptic deformation of the sine-Gordon model ⋮ Critical points of coupled vector-Ising systems. Exact results ⋮ Chebyshev polynomial expansion of two-dimensional Landau–Fermi liquid parameters ⋮ Deformation of Wess–Zumino–Witten fusion rules from open q-boson models with diagonal boundary conditions ⋮ Conformal perturbation theory for twisted fields ⋮ Critical points in coupled Potts models and correlated percolation ⋮ Characterization of codimension one foliations on complex curves by connections ⋮ Gaussian free fields for mathematicians ⋮ Ising interfaces and free boundary conditions ⋮ Unnamed Item ⋮ Conformal invariance in conditioned stochastic particle systems ⋮ Theta Functions for Lattices of SU(3) Hyper-Roots ⋮ Higher Order Fermionic and Bosonic Operators ⋮ Universal terms in the overlap of the ground state of the spin-1/2 XXZ chain with the Néel state ⋮ Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ Fock space realisations of staggered modules in 2D logarithmic CFTs ⋮ String-net models for nonspherical pivotal fusion categories ⋮ MCMC with strings and branes: The suburban algorithm (Extended Version) ⋮ Uniqueness theorems of self-conformal solutions to inverse curvature flows ⋮ The nuts and bolts of the BMS bootstrap ⋮ -Differential operators and -differential modules for the Virasoro algebra ⋮ Spectral gaps of frustration-free spin systems with boundary ⋮ Signature of quantum chaos in operator entanglement in 2d CFTs ⋮ Twisted logarithmic modules of lattice vertex algebras ⋮ Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions ⋮ Geometry of bounded critical phenomena ⋮ Critical Casimir interaction between colloidal Janus-type particles in two spatial dimensions ⋮ On (ad)n(X2)k series of universal quantum dimensions ⋮ Entanglement entropy as a portal to the physics of quantum spin liquids ⋮ Exact parent Hamiltonians of bosonic and fermionic Moore–Read states on lattices and local models ⋮ Low-temperature universal dynamics of the bidimensional Potts model in the large q limit ⋮ On discrete field theory properties of the dimer and Ising models and their conformal field theory limits ⋮ Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables ⋮ Gravitational edge modes: from Kac–Moody charges to Poincaré networks ⋮ Traversable asymptotically flat wormholes with short transit times ⋮ The classification of subfactors of index at most 5 ⋮ A modified Villain formulation of fractons and other exotic theories ⋮ Possible central extensions of non-relativistic conformal algebras in 1+1 ⋮ Left-symmetric superalgebra structures on the N = 2 superconformal algebras ⋮ Irregular conformal blocks and connection formulae for Painlevé V functions ⋮ The three-state Potts antiferromagnet on plane quadrangulations ⋮ Bulk-boundary correspondence in the quantum Hall effect ⋮ Toward a conformal field theory for Schramm-Loewner evolutions ⋮ Particle creation by wormholes: A 1 + 1 model ⋮ Orbifold deconstruction: a computational approach ⋮ On spin and modularity in conformal field theory ⋮ Mathematics of topological quantum computing ⋮ Proposal for a conformal field theory interpretation of Watts’ differential equation for percolation ⋮ The scaling limit of two cluster boundaries in critical lattice models ⋮ TheO(n) vector model atn= −1, −2 on random planar lattices: a direct combinatorial derivation ⋮ TheSU(N) self-dual sine–Gordon model and competing orders ⋮ De Sitter-invariant states from holography ⋮ VOA[M4] ⋮ Modular forms on the double half-plane ⋮ Statistical mechanics of logarithmic REM: duality, freezing and extreme value statistics of 1/fnoises generated by Gaussian free fields ⋮ Entanglement entropy of two disjoint intervals in conformal field theory ⋮ Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum ⋮ Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties ⋮ A concise introduction to quantum field theory ⋮ Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models ⋮ Universal distribution of random matrix eigenvalues near the ‘birth of a cut’ transition ⋮ Bosonic representation of spin operators in the field-induced critical phase of spin-1 Haldane chains ⋮ Dynamical response functions in the quantum Ising chain with a boundary ⋮ A new path description for the {\cal M} (k+1,2k+3) models and the dual {\cal Z}_k graded parafermions ⋮ Critical points in the RP N−1 model ⋮ Exceptional quantum subgroups for the rank two Lie algebras B2 and G2 ⋮ Conformal invariance and $2D$ statistical physics ⋮ Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory ⋮ Symmetry resolved entanglement entropy of excited states in a CFT ⋮ Critical lines in the pure and disordered O(N) model ⋮ Entanglement and relative entropies for low-lying excited states in inhomogeneous one-dimensional quantum systems ⋮ No-go theorem for boson condensation in topologically ordered quantum liquids ⋮ Phase transitions and critical behaviors of XXZ ladders ⋮ Logarithmic correlators in nonrelativistic conformal field theory ⋮ Entanglement Hamiltonian of the 1 + 1-dimensional free, compactified boson conformal field theory ⋮ Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains ⋮ One-particle density matrix of a trapped Lieb–Liniger anyonic gas ⋮ Entanglement entropy of excited states in the quantum Lifshitz model ⋮ Bipartite fidelity for models with periodic boundary conditions ⋮ Weight modules with a finite dimensional weight space over truncated Virasoro algebras ⋮ Continuous spin representation from contraction of the conformal algebra ⋮ Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects ⋮ Dimers and families of Cauchy-Riemann operators I ⋮ X 2 series of universal quantum dimensions ⋮ Braiding properties of paired spin-singlet and non-Abelian hierarchy states ⋮ Conserved currents in the six-vertex and trigonometric solid-on-solid models ⋮ Remarks on the thermodynamic stability of TT̄ deformations ⋮ Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type ⋮ Boundedness of meta-conformal two-point functions in one and two spatial dimensions ⋮ Open spin chains with dynamic lattice supersymmetry ⋮ Multiparameter universality and conformal field theory for anisotropic confined systems: test by Monte Carlo simulations ⋮ How is the presence of horizons and localized matter encoded in the entanglement entropy? ⋮ Hand-waving and interpretive dance: an introductory course on tensor networks ⋮ U ( h ) -free modules over the super-Galilean conformal algebras ⋮ Scalar conformal primary fields in the Brownian loop soup ⋮ On the RPN−1 and CPN−1 universality classes ⋮ Late-time correlation functions in \(\mathrm{dS}_3/\mathrm{CFT}_2\) correspondence ⋮ Infrared phases of \(2d\) QCD ⋮ Modular linear differential equations for four-point sphere conformal blocks ⋮ Larger twists and higher \(n\)-point functions with fractional conformal descendants in \(S_N\) orbifold CFTs at large \(N\) ⋮ Double scaling limits of Dirac ensembles and Liouville quantum gravity ⋮ Fractional conformal descendants and correlators in general 2D \(S_N\) orbifold CFTs at large \(N\) ⋮ On triality defects in 2d CFT ⋮ Free field realization of the BMS Ising model ⋮ Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation ⋮ Pseudo and quasi quark PDF in the BFKL approximation ⋮ Two spinning Konishi operators at three loops. ⋮ Critical site percolation on the triangular lattice: from integrability to conformal partition functions ⋮ Zero-mode entanglement across a conformal defect ⋮ The operator algebra of cyclic orbifolds ⋮ Elliptic Ruijsenaars difference operators, symmetric polynomials, and Wess-Zumino-Witten fusion rings ⋮ Higgs phonon: conformal phonon and Hawking temperature in a two-dimensional acoustic black hole model ⋮ On unitarity of the Coon amplitude ⋮ Dimer model and holomorphic functions on t‐embeddings of planar graphs ⋮ Reduction cohomology of Riemann surfaces ⋮ Symmetry-resolved modular correlation functions in free fermionic theories ⋮ Ensemble averaging in JT gravity from entanglement in matrix quantum mechanics ⋮ Logarithmic vertex algebras and non-local Poisson vertex algebras ⋮ The extension of cochain complexes of meromorphic functions to multiplications ⋮ Uniqueness of the Jackiw non-Noetherian conformal scalar field ⋮ Matchgate shadows for fermionic quantum simulation ⋮ Thermalization in quenched open quantum cosmology ⋮ Improvement of a Conserved Current Density Versus Adding a Total Derivative to a Lagrangian Density ⋮ Restricted modules over some ℤ-graded Lie algebras ⋮ Quantum integrability vs experiments: correlation functions and dynamical structure factors ⋮ Two-dimensional conformal field theory, full vertex algebra and current-current deformation ⋮ Embedding unimodular gravity in string theory ⋮ Entanglement resolution of free Dirac fermions on a torus ⋮ Cosimplicial meromorphic functions cohomology on complex manifolds ⋮ Boundary symmetry breaking in CFT and the string order parameter ⋮ Adjoint Majorana \(\mathrm{QCD}_2\) at finite \(N\) ⋮ Negative Rényi entropy and brane intersection ⋮ Crossing probabilities of multiple Ising interfaces ⋮ Conservation of all Lipkin's zilches from symmetries of the standard electromagnetic action and a hidden algebra ⋮ The 𝐴₂ Andrews–Gordon identities and cylindric partitions ⋮ Product-type classes for vertex algebra cohomology of foliations on complex curves ⋮ Notes on gauge fields and discrete series representations in de Sitter spacetimes ⋮ Gravitational action for a massive Majorana fermion in \(2d\) quantum gravity ⋮ Wormholes and surface defects in rational ensemble holography ⋮ Conformal perturbation theory on K3: the quartic Gepner point ⋮ Nonrelativistic Dirac fermions on the torus ⋮ Modular Hamiltonian for de Sitter diamonds ⋮ The action of geometric entropy in topologically massive gravity ⋮ Trace and diffeomorphism anomalies of the classical Liouville theory, Virasoro algebras, Weyl-gauging and all that ⋮ Quantum K theory rings of partial flag manifolds ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Carrollian approach to \(1 + 3\)D flat holography ⋮ A proposal for 3d quantum gravity and its bulk factorization ⋮ The discreet charm of the discrete series in dS2 ⋮ The \(D_3^{(2)}\) spin chain and its finite-size spectrum ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ The torus and the Klein bottle amplitude of permutation orbifolds. ⋮ A note on four-point functions of conformal operators in \(N=4\) super-Yang Mills. ⋮ Parafermionic character formulae. ⋮ Toroidal compactification in string theory from Chern-Simons theory. ⋮ Unstable non-BPS D-branes of type-II string theories in light-cone Green-Schwarz formalism ⋮ Chirally stabilized critical state in marginally coupled spin and doped systems. ⋮ Modular transformations and invariants in the context of fractional level \(\widehat{\text{sl}}(2|1;\mathbb{C})\) ⋮ \(\text{AdS}_2/\text{CFT}_1\) correspondence and near-extremal black hole entropy ⋮ Boundary conditions in rational conformal field theories. ⋮ Holography, degenerate horizons and entropy ⋮ Towards a field theory of the plateau transitions in the integer quantum Hall effect ⋮ Finite group modular data ⋮ Legendre's relation and the quantum equivalence osp\((4|4)_1 = \text{osp}(2|2)_{-2} \oplus su(2)_0\) ⋮ The Baxter equation for quantum discrete Boussinesq equation ⋮ Minimal model boundary flows and c=1 CFT ⋮ Logarithmic currents in the \(SU(2)_0\) WZNW model ⋮ Quantum groups and non-Abelian braiding in quantum Hall systems ⋮ 2D black holes, conformal vacua and CFTs on the cylinder ⋮ Disordered Dirac fermions: the marriage of three different approaches ⋮ Twisted \(\text{sl}(3,\mathbb C)^{(2)}_k\) current algebra: free field representation and screening currents ⋮ Parafermionic quasi-particle basis and fermionic-type characters ⋮ D-branes on a gauged WZW model ⋮ Some aspects of the de Sitter/CFT correspondence ⋮ Stability and activation gaps of the parafermionic Hall states in the second Landau level ⋮ Open strings in simple current orbifolds ⋮ Boundary conformal field theory and fusion ring representations ⋮ Boundary states in coset conformal field theories ⋮ Connectivities of Potts Fortuin-Kasteleyn clusters and time-like Liouville correlator ⋮ Thermodynamics of the topological Kondo model ⋮ Generalized additivity in unitary conformal field theories ⋮ Thermopower and thermoelectric power factor of \(\mathbb{Z}_k\) parafermion quantum dots ⋮ Boundary algebras and Kac modules for logarithmic minimal models ⋮ The Kerr/CFT correspondence and its extensions ⋮ The Kerr/CFT correspondence and its extensions ⋮ On general-n coefficients in series expansions for row spin–spin correlation functions in the two-dimensional Ising model ⋮ Absence of nematic quasi-long-range order in two-dimensional liquid crystals with three director components ⋮ Integrability and scattering of the boson field theory on a lattice ⋮ Superconformal symmetry and representations ⋮ A mapping between the spin and fermion algebra ⋮ The 5-CB algebra and fused SU(2) lattice models ⋮ Entanglement negativity in a fermionic chain with dissipative defects: exact results ⋮ The SAGEX review on scattering amplitudes Chapter 6: Ambitwistor Strings and Amplitudes from the Worldsheet ⋮ Weizmann lectures on the numerical conformal bootstrap ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Quantum codes, CFTs, and defects ⋮ Meromorphic cosets and the classification of three-character CFT ⋮ Hierarchies of RG flows in 6d \((1, 0)\) massive E-strings ⋮ Boundary states in the \(\mathrm{SU}(2)_k\) WZW model from open string field theory ⋮ Deforming soft algebras for gauge theory ⋮ The fate of non-supersymmetric Gross-Neveu-Yukawa fixed point in two dimensions ⋮ Fate of quantum anomalies for 1d lattice chiral fermion with a simple non-Hermitian Hamiltonian ⋮ Diffeomorphisms as quadratic charges in 4d BF theory and related TQFTs ⋮ Bootstrapping closed string field theory ⋮ Universal thermal corrections to symmetry-resolved entanglement entropy and full counting statistics ⋮ Classification of simple locally finite modules over the affine-Virasoro algebras ⋮ Anyonic defect branes and conformal blocks in twisted equivariant differential (TED) K-theory ⋮ Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras ⋮ The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation ⋮ Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles ⋮ Anomalous Ward identities for on-shell amplitudes at the conformal fixed point ⋮ Entanglement and geometry from subalgebras of the Virasoro algebra ⋮ On intermediate Lie algebra \(E_{7+1/2}\) ⋮ Conformal covariance of connection probabilities and fields in 2D critical percolation ⋮ Averaging over codes and an SU(2) modular bootstrap ⋮ Revisit the entanglement entropy with gravitational anomaly ⋮ Scale invariant Einstein-Cartan gravity and flat space conformal symmetry ⋮ Symmetry-resolved entanglement entropy, spectra \& boundary conformal field theory ⋮ Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Wightman fields for two-dimensional conformal field theories with pointed representation category ⋮ Inhomogeneous conformal field theory out of equilibrium ⋮ Higher dimensional CFTs as 2D conformally-equivariant topological field theories ⋮ Meta-Schrödinger transformations ⋮ Multi-charged moments and symmetry-resolved Rényi entropy of free compact Boson for multiple disjoint intervals ⋮ Modified supersymmetric indices in \(\mathrm{AdS}_3/\mathrm{CFT}_2\) ⋮ Celestial conformal blocks of massless scalars and analytic continuation of the Appell function \(F_1\) ⋮ Narain CFTs from nonbinary stabilizer codes ⋮ Averaged null energy and the renormalization group ⋮ Entanglement asymmetry in the ordered phase of many-body systems: the Ising field theory ⋮ Broken (super) conformal Ward identities at finite temperature ⋮ \(Z_3\) and \((\times Z_3)^3\) symmetry protected topological paramagnets ⋮ \( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters
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