Conformal partial waves and the operator product expansion

From MaRDI portal

Publication:1418115

Jump to:navigation, search

DOI10.1016/j.nuclphysb.2003.11.016zbMath1097.81735arXivhep-th/0309180OpenAlexW1985985717WikidataQ57568041 ScholiaQ57568041MaRDI QIDQ1418115

F. A. Dolan, Hugh Osborn

Publication date: 7 January 2004

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309180

zbMATH Keywords

hypergeometric functions \(O(d,2)\) Casimir-operator eigenfunctions symmetric Jack polynomials

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of hypergeometric functions (33C90)

Related Items

Projectors, shadows, and conformal blocks, Bootstrapping the \(O\)(\(N\) ) vector models, Bounds on \( \mathcal{N} = 1\) superconformal theories with global symmetries, Spinning AdS propagators, Two-point functions of conformal primary operators in \( \mathcal{N} = 1\) superconformal theories, Bounds on OPE coefficients in 4D conformal field theories, Bootstrap bound on extremal Reissner-Nordström black hole in AdS, Mellin amplitudes for \(1d\) CFT, Gaudin models and multipoint conformal blocks: general theory, Bulk locality for scalars and fermions with global symmetry, Recursion relations for 5-point conformal blocks, Bootstrapping the half-BPS line defect, Momentum-space conformal blocks on the light cone, Calogero-Sutherland approach to defect blocks, Loops, polytopes and splines, Light-ray operators in conformal field theory, Truncatable bootstrap equations in algebraic form and critical surface exponents, Bounding the space of holographic CFTs with chaos, \(\phi^{3}\) theory with \(F_{4}\) flavor symmetry in \(6 - 2\epsilon\) dimensions: 3-loop renormalization and conformal bootstrap, Towards spinning Mellin amplitudes, Bootstrapping \( \mathcal{N}=2 \) chiral correlators, Accidental symmetries and the conformal bootstrap, Scalar-vector bootstrap, Witten diagrams revisited: the AdS geometry of conformal blocks, Stress-tensor OPE in \( \mathcal{N}=2 \) superconformal theories, Virasoro vacuum block at next-to-leading order in the heavy-light limit, Revisiting \( \mathcal{N}=4 \) superconformal blocks, Seed conformal blocks in 4D CFT, Interactions as intertwiners in 4D QFT, The \( \mathcal{N}=2 \) superconformal bootstrap, From global to heavy-light: 5-point conformal blocks, Fermion-scalar conformal blocks, Defects in conformal field theory, Hawking from Catalan, Higher-point conformal blocks and entanglement entropy in heavy states, Conformal bootstrap with slightly broken higher spin symmetry, Holographic conformal partial waves as gravitational open Wilson networks, More on analytic bootstrap for \(O(N)\) models, Projectors and seed conformal blocks for traceless mixed-symmetry tensors, Dimensional reduction for conformal blocks, The free \(\sigma\)CFTs, Recursion relations for conformal blocks, From spinning conformal blocks to matrix Calogero-Sutherland models, Correlation functions of warped CFT, Holographic mutual information of two disjoint spheres, Conformal bootstrap at large charge, Superconformal ward identities and their solution, Superconformal operators in Yang-Mills theories on the light-cone, Partial wave expansion and Wightman positivity in conformal field theory, A wide class of four point functions of BPS operators in \(\mathcal N=4\) SYM at order \(g^{4}\), Conjectures for large \(\mathcal N=4\) superconformal chiral primary four point functions, Looking for a bulk point, Bootstrap equations for \( \mathcal{N} = 4\) SYM with defects, Bootstrapping mixed correlators in the five dimensional critical \(O(N)\) models, Scale anomalies, states, and rates in conformal field theory, Eikonal approximation in AdS/CFT: from shock waves to four-point functions, Harmony of spinning conformal blocks, The lightcone bootstrap and the spectrum of the 3d Ising CFT, Mellin space bootstrap for global symmetry, Bootstrapping mixed correlators in 4D \( \mathcal{N} =1\) SCFTs, Superconformal blocks for SCFTs with eight supercharges, Boundary kinematic space, Carving out the end of the world or (superconformal bootstrap in six dimensions), More on supersymmetric and 2d analogs of the SYK model, Analyticity in spin in conformal theories, Boundary conformal field theory and a boundary central charge, Bounds for OPE coefficients on the Regge trajectory, The ABC (in any D) of logarithmic CFT, Bounds on 4D conformal and superconformal field theories, Current OPEs in superconformal theories, Anomalous dimensions of non-chiral operators from AdS/CFT, \(\chi\)-systems for correlation functions, Resummation at finite conformal spin, Critical Ising model in varying dimension by conformal bootstrap, Conformally soft photons and gravitons, All tree-level correlators in \(\mathrm{AdS}_{5} \times S_{5}\) supergravity: hidden ten-dimensional conformal symmetry, Various semiclassical limits of torus conformal blocks, A Mellin space approach to the conformal bootstrap, Anatomy of geodesic Witten diagrams, Cut-touching linear functionals in the conformal bootstrap, On the mutual information in conformal field theory, Geodesic diagrams, gravitational interactions \& OPE structures, Spinning Witten diagrams, Wilsonian renormalisation of CFT correlation functions: field theory, What Maxwell theory in \(d\neq 4\) teaches us about scale and conformal invariance?, Holomorphic factorization for a quantum tetrahedron, The bootstrap program for boundary \(\mathrm{CFT}_d\), Diagonal limit for conformal blocks in \(d\) dimensions, Conformal blocks in the large \(D\) limit, Constraints on 2d CFT partition functions, The analytic bootstrap and AdS superhorizon locality, A multipoint conformal block chain in \(d\) dimensions, AdS/CFT unitarity at higher loops: high-energy string scattering, Random field Ising model and Parisi-Sourlas supersymmetry. I: Supersymmetric CFT, Analytic functional bootstrap for CFTs in \(d > 1\), Conformal two-point correlation functions from the operator product expansion, The gravity dual of Lorentzian OPE blocks, New methods for conformal correlation functions, Loops in AdS: from the spectral representation to position space, Lightcone expansions of conformal blocks in closed form, \(\mathrm{AdS}_4/\mathrm{CFT}_3\) from weak to strong string coupling, Conformal constraints on defects, Closed-form expression for cross-channel conformal blocks near the lightcone, An alternative to diagrams for the critical O\((N)\) model: dimensions and structure constants to order \(1/N^2\), Superconformal blocks: general theory, Correlation function with the insertion of zero modes of modular Hamiltonians, The probe of curvature in the Lorentzian \(\mathrm{AdS_2/CFT_1}\) correspondence, Entanglement wedge cross section from CFT: dynamics of local operator quench, Unitarity methods in AdS/CFT, Extended BMS algebra of celestial CFT, Conformal 3-point functions and the Lorentzian OPE in momentum space, Operator product expansion of inflationary correlators and conformal symmetry of de Sitter, Correlation functions of conserved currents in four dimensional conformal field theory, Spinning geodesic Witten diagrams, Kinematic space for conical defects, Crossing symmetry in alpha space, Crossing symmetry and higher spin towers, A Tauberian theorem for the conformal bootstrap, Holographic duals of large-\(c\) torus conformal blocks, Solving CFTs with weakly broken higher spin symmetry, Scalar blocks as gravitational Wilson networks, Stress tensor sector of conformal correlators operators in the Regge limit, Superconformal block from holographic geometry, Excited states of one-dimensional defect CFTs from the quantum spectral curve, Higher-point conformal blocks in the comb channel, Further results on a function relevant for conformal blocks, On the Virasoro six-point identity block and chaos, Nonperturbative Mellin amplitudes: existence, properties, applications, Multi-stress tensors and next-to-leading singularities in the Regge limit, How to succeed at Witten diagram recursions without really trying, Conformal four-point correlation functions from the operator product expansion, A theory of reparameterizations for \(\mathrm{AdS}_{3}\) gravity, Multipoint conformal blocks in the comb channel, Distributions in CFT. II: Minkowski space, Dispersion relations and exact bounds on CFT correlators, Open fishchain in \(N = 4\) supersymmetric Yang-Mills theory, On local and integrated stress-tensor commutators, Operator product expansion for conformal defects, Inverse bootstrapping conformal field theories, The analytic bootstrap in fermionic CFTs, General bootstrap equations in 4D CFTs, Simplifying large spin bootstrap in Mellin space, M-theory beyond the supergravity approximation, Casimir recursion relations for general conformal blocks, Weight shifting operators and conformal blocks, Counting conformal correlators, Towards a bootstrap approach to higher orders of epsilon expansion, The 3d stress-tensor bootstrap, Conformal manifolds: ODEs from OPEs, Extremal bootstrapping: go with the flow, Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography, On Sugawara construction on celestial sphere, Asymptotic symmetries and celestial CFT, Conformal correlators of mixed-symmetry tensors, No unitary bootstrap for the fractal Ising model, Harmonic analysis in \(d\)-dimensional superconformal field theory, Towards Feynman rules for conformal blocks, The light-ray OPE and conformal colliders, Conformal correlators as simplex integrals in momentum space, Area law of connected correlation function in higher dimensional conformal field theory, Loops in dS/CFT, Large-\(c\) superconformal torus blocks, The M-theory S-matrix from ABJM: beyond 11D supergravity, One-loop string corrections to AdS amplitudes from CFT, Dimensional reduction of higher-point conformal blocks, Crossing symmetry for long multiplets in 4D \(\mathcal{N} = 1\) SCFTs, Superconformal boundaries in \(4 - \varepsilon\) dimensions, ABJ correlators with weakly broken higher spin symmetry, Unitarity and the holographic S-matrix, Analyticity and the holographic \(S\)-matrix, Conformal Regge theory, Four-point functions of all-different-weight chiral primary operators in the supergravity approximation, Scalar CFTs and their large N limits, Four-point functions of 1/2-BPS operators of any weights in the supergravity approximation, Instability of complex CFTs with operators in the principal series, Defect conformal blocks from Appell functions, Reparametrization modes in 2d CFT and the effective theory of stress tensor exchanges, Factorized lightcone expansion of conformal blocks, Dispersive CFT sum rules, Remarks on holographic models of the Kerr-\( \mathrm{AdS}_5\) geometry, Logarithmic behaviour of connected correlation function in CFT, Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena, Efficient rules for all conformal blocks, Celestial diamonds: conformal multiplets in celestial CFT, Chaos in CFT dual to rotating BTZ, Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D, One-loop string corrections for AdS Kaluza-Klein amplitudes, From dS to AdS and back, Conformally soft fermions, ABJM at strong coupling from M-theory, localization, and Lorentzian inversion, Ambitwistor strings and the scattering equations on \(\mathrm{AdS}_3\times\mathrm{S}^3\), The \(F\)-theorem in the melonic limit, Regge trajectories for the \((2, 0)\) theories, A sum rule for boundary contributions to the trace anomaly, Large charges on the Wilson loop in \(\mathcal{N} = 4\) SYM: matrix model and classical string, Lightcone bootstrap at higher points, Bootstrapping monodromy defects in the Wess-Zumino model, Correlation functions of determinant operators in conformal fishnet theory, Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation, Selected topics in analytic conformal bootstrap: a guided journey, Conformal hypergeometry and integrability, Bootstrapping the long-range Ising model in three dimensions, Three-point energy correlators and the celestial block expansion, Exact thermal correlators of holographic \textit{CFT}s, Identifying large charge operators, Fermions in boundary conformal field theory: crossing symmetry and \(\epsilon\)-expansion, Multipoint lightcone bootstrap from differential equations, Bootstrapping string dynamics in the 6d \(\mathcal{N} = (2, 0)\) theories, Large \(N\) analytical functional bootstrap. I: 1D CFTs and total positivity, A constructive solution to the cosmological bootstrap, Spinors in (anti-)de Sitter space, Aspects of higher-point functions in \(\mathrm{BCFT}_d\), Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface, AdS super gluon scattering up to two loops: a position space approach, The five-point bootstrap, Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications, The shadow formalism of Galilean \(\mathrm{CFT}_2\), Virasoro blocks and the reparametrization formalism, Holographic thermal correlators for hyperbolic CFTs, Torus shadow formalism and exact global conformal blocks, Weizmann lectures on the numerical conformal bootstrap, Shift operators from the simplex representation in momentum-space CFT, Universal spinning Casimir equations and their solutions, Superconformal blocks in diverse dimensions and \textit{BC} symmetric functions, Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles, AdS Virasoro-Shapiro amplitude with KK modes, One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in \(\mathrm{AdS}_3^{\otimes m}\), On higher-spin points and infinite distances in conformal manifolds, The nuts and bolts of the BMS bootstrap, Conformal field theories with infinitely many conservation laws, PyCFTBoot: A Flexible Interface for the Conformal Bootstrap, CONFORMAL INVARIANCE AND RATIONALITY IN AN EVEN DIMENSIONAL QUANTUM FIELD THEORY, Generalized additivity in unitary conformal field theories, Critical O(N) model to orderϵ⁴from analytic bootstrap, Boundary and defect CFT: open problems and applications, The SAGEX review on scattering amplitudes Chapter 8: Half BPS correlators, Remarks on the convergence properties of the conformal block expansion, Universal anomalous dimensions at large spin and large twist, Worldline approach to semi-classical conformal blocks, The Goldstone equivalence theorem and AdS/CFT, Deconstructing conformal blocks in 4D CFT, Bootstrapping SCFTs with four supercharges, Eikonalization of conformal blocks, Analytic bootstrap at large spin, Large spin systematics in CFT, Quartic AdS interactions in higher-spin gravity from conformal field theory, Virasoro conformal blocks and thermality from classical background fields, Semiclassical Virasoro blocks from \(\mathrm{AdS}_{3}\) gravity, Superconformal partial waves in Grassmannian field theories, ON INVARIANTS AND SCALAR CHIRAL CORRELATION FUNCTIONS IN ${\mathcal N} = 1$ SUPERCONFORMAL FIELD THEORIES, Conformal group theory of tensor structures, Regge OPE blocks and light-ray operators, Landau diagrams in AdS and S-matrices from conformal correlators, Model-dependence of minimal-twist OPEs in \(d > 2\) holographic CFTs, CFT in AdS and boundary RG flows, More on Wilson toroidal networks and torus blocks, Scattering equations in AdS: scalar correlators in arbitrary dimensions, Bootstrapping boundary-localized interactions, Half-BPS Wilson loop and \(\mathrm{AdS}_{2}/\mathrm{CFT}_{1}\), \(\mathrm{AdS}_{4} / \mathrm{CFT}_{3}\) for unprotected operators, Momentum space approach to crossing symmetric CFT correlators, Integrability of conformal blocks. I: Calogero-Sutherland scattering theory, Conformal triangles and zig-zag diagrams, Interactions in higher-spin gravity: a holographic perspective, Large charges on the Wilson loop in \(\mathcal{N} = 4\) SYM. II: Quantum fluctuations, OPE, and spectral curve, Elements of celestial conformal field theory, Two-loop supergravity on \(\mathrm{AdS}_5\times\mathrm{S}^5\) from CFT, Towards general super Casimir equations for $4D$ $ \mathcal{N}=1 $ SCFTs, $d$-dimensional SYK, AdS loops, and $6j$ symbols, AdS maps and diagrams of bi-local holography, Celestial Liouville theory for Yang-Mills amplitudes, Recursion relations for anomalous dimensions in the 6d (2, 0) theory, Holographic four-point functions in Toda field theories in $\mathrm{AdS}_2$, Celestial Yang-Mills amplitudes and \(D = 4\) conformal blocks, Celestial blocks and transverse spin in the three-point energy correlator, Conformal bootstrap deformations, Notes on resonances and unitarity from celestial amplitudes, Conformal integrals in four dimensions, Torus conformal blocks and Casimir equations in the necklace channel, Feynman rules for scalar conformal blocks, Analytic bootstrap of mixed correlators in the \(O(n)\) CFT, Correlators of four light-ray operators in CCFT, Bootstrapping conformal \(\mathrm{QED}_3\) and deconfined quantum critical point, Bootstrapping line defects with O(2) global symmetry, M-theory on \(AdS_4 \times S^7\) at 1-loop and beyond, Spinning correlators in \(\mathcal{N} = 2\) SCFTs: superspace and AdS amplitudes, Effective field theory islands from perturbative and nonperturbative four-graviton amplitudes, The Regge limit for Green functions in conformal field theory, Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect \(CFT_1\), A Lorentzian inversion formula for defect CFT, Conformal bootstrap for percolation and polymers, Conformal correlation functions in four dimensions from quaternionic Lauricella system, Selected topics in the large quantum number expansion, Notes on flat-space limit of AdS/CFT, Mutual information superadditivity and unitarity bounds, Spontaneously broken boosts in CFTs, Thermalization in large-\(N\) CFTs, More holography from conformal field theory, Spinning conformal blocks, A natural language for AdS/CFT correlators, Improved bounds for CFT's with global symmetries, Multichannel conformal blocks for polygon Wilson loops, Universal lowest-twist in CFTs from holography, Uplifting \(\mathrm{AdS}_{3} / \mathrm{CFT}_2\) to flat space holography, Toda theory in \(\mathrm{AdS}_{2}\) and \(\mathcal{W} A_n\)-algebra structure of boundary correlators, Celestial amplitudes: conformal partial waves and soft limits, On conformal blocks, crossing kernels and multi-variable hypergeometric functions, Harmonic analysis and mean field theory, 20' five-point function from \(\mathrm{AdS}_{5} \times S^5\) supergravity, On the Regge limit of Fishnet correlators, Propagator identities, holographic conformal blocks, and higher-point AdS diagrams, Supersymmetric Liouville theory in \(\mathrm{AdS}_{2} \) and AdS/CFT, Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs, Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry, Analytic bootstrap for logarithmic CFT, Recursion relation for general 3d blocks, String corrections to AdS amplitudes and the double-trace spectrum of \(\mathcal{N} = 4\) SYM, Polology of superconformal blocks, Scalar-fermion analytic bootstrap in 4D, A geodesic Witten diagram description of holographic entanglement entropy and its quantum corrections, Generalized fishnets and exact four-point correlators in chiral $\mathrm{CFT}_{4}$, Fermion conformal bootstrap in 4d, On the positive geometry of conformal field theory, Recursion relations in Witten diagrams and conformal partial waves, Holographic dual of the five-point conformal block, Correlators on non-supersymmetric Wilson line in \( \mathcal{N}=4 \) SYM and $\mathrm{AdS}_2/\mathrm{CFT}_{1}$, Comments on spinning OPE blocks in AdS\(_3\)/CFT\(_2\), Towards three-dimensional conformal probability, Higher spin ANEC and the space of CFTs, On boundary correlators in Liouville theory on \(\mathrm{AdS}_2\), Asymptotic four point functions, Conformal differential operator in embedding space and its applications, New Methods in Conformal Partial Wave Analysis, Conformal equations that are not Virasoro or Weyl invariant, Non-abelian Toda theory on \( \mathrm{AdS}_{2} \) and \( \mathrm{AdS}_{2}/\mathrm{CFT}_{2}^{1/2}\) duality, The large central charge limit of conformal blocks

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:1418115&oldid=13583752"