Bootstrapping the \(O\)(\(N\)) archipelago

DOI10.1007/JHEP11(2015)106zbMath1388.81054arXiv1504.07997OpenAlexW3098967791WikidataQ59711970 ScholiaQ59711970MaRDI QIDQ2636117

David Poland, Filip Kos, David Simmons-Duffin, Alessandro Vichi

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07997

zbMATH Keywords

conformal and W symmetry global symmetries

Mathematics Subject Classification ID

Quantum coherence, entanglement, quantum correlations (81P40)

Related Items

Charging up the functional bootstrap ⋮ Bulk locality for scalars and fermions with global symmetry ⋮ The conformal bootstrap at finite temperature ⋮ Bootstrapping the long-range Ising model in three dimensions ⋮ Truncatable bootstrap equations in algebraic form and critical surface exponents ⋮ Bounding the space of holographic CFTs with chaos ⋮ Scalar-vector bootstrap ⋮ Revisiting \( \mathcal{N}=4 \) superconformal blocks ⋮ Non-abelian binding energies from the lightcone bootstrap ⋮ Fermion-scalar conformal blocks ⋮ Bootstrapping \(O(N)\) vector models with four supercharges in \(3\leq d\leq 4\) ⋮ The most general \(4\mathcal D\mathcal N=1\) superconformal blocks for scalar operators ⋮ A proof of the conformal collider bounds ⋮ More on analytic bootstrap for \(O(N)\) models ⋮ Projectors and seed conformal blocks for traceless mixed-symmetry tensors ⋮ Radial expansion for spinning conformal blocks ⋮ Towards bootstrapping \(QED_{3}\) ⋮ Precision islands in the Ising and \(O(N)\) models ⋮ Recursion relations for conformal blocks ⋮ On the CFT operator spectrum at large global charge ⋮ Exploring the minimal 4D \( \mathcal{N}=1 \) SCFT ⋮ Bootstrapping hypercubic and hypertetrahedral theories in three dimensions ⋮ Mixed scalar-current bootstrap in three dimensions ⋮ Solving M-theory with the conformal bootstrap ⋮ Momentum space approach to crossing symmetric CFT correlators ⋮ Integrability of conformal blocks. I: Calogero-Sutherland scattering theory ⋮ An alternative to diagrams for the critical O\((N)\) model: dimensions and structure constants to order \(1/N^2\) ⋮ The Gross-Neveu-Yukawa archipelago ⋮ The M-theory archipelago ⋮ Bootstrapping mixed correlators in the five dimensional critical \(O(N)\) models ⋮ Analytic bounds and emergence of \(\mathrm{AdS}_{2}\) physics from the conformal bootstrap ⋮ An algebraic approach to the analytic bootstrap ⋮ Rigorous bounds on irrelevant operators in the 3d Ising model CFT ⋮ Conformal bootstrap deformations ⋮ The lightcone bootstrap and the spectrum of the 3d Ising CFT ⋮ The critical \(O(N)\) CFT: methods and conformal data ⋮ Conformal bootstrap in momentum space at finite volume ⋮ Weizmann lectures on the numerical conformal bootstrap ⋮ Bootstrapping line defects with O(2) global symmetry ⋮ Mellin space bootstrap for global symmetry ⋮ Bootstrapping mixed correlators in 4D \( \mathcal{N} =1\) SCFTs ⋮ QCD at finite temperature and density within the fRG approach: an overview ⋮ Carving out the end of the world or (superconformal bootstrap in six dimensions) ⋮ Bootstrapping \(\mathcal{N} = 4\) super-Yang-Mills on the conformal manifold ⋮ The ABC (in any D) of logarithmic CFT ⋮ O(\(N\)) and O(\(N\)) and O(\(N\)) ⋮ Conformal four-point correlation functions from the operator product expansion ⋮ 2d small N=4 long-multiplet superconformal block ⋮ Conformal bootstrap for percolation and polymers ⋮ Distributions in CFT. II: Minkowski space ⋮ The cubic fixed point at large \(N\) ⋮ Inverse bootstrapping conformal field theories ⋮ Anomalous dimensions of spinning operators from conformal symmetry ⋮ General bootstrap equations in 4D CFTs ⋮ Simplifying large spin bootstrap in Mellin space ⋮ The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points ⋮ Compensating strong coupling with large charge ⋮ Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap ⋮ PyCFTBoot: A Flexible Interface for the Conformal Bootstrap ⋮ Casimir recursion relations for general conformal blocks ⋮ Decoding a three-dimensional conformal manifold ⋮ Weight shifting operators and conformal blocks ⋮ Towards a bootstrap approach to higher orders of epsilon expansion ⋮ The 3d stress-tensor bootstrap ⋮ A Mellin space approach to the conformal bootstrap ⋮ \((2,2)\) superconformal bootstrap in two dimensions ⋮ \( \mathcal{N} =4 \) superconformal bootstrap of the \(K3\) CFT ⋮ Spheres, charges, instantons, and bootstrap: a five-dimensional odyssey ⋮ Extremal bootstrapping: go with the flow ⋮ The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT ⋮ Spinning conformal blocks ⋮ Spinning conformal correlators ⋮ Improved bounds for CFT's with global symmetries ⋮ More analytic bootstrap: nonperturbative effects and fermions ⋮ An analytical toolkit for the S-matrix bootstrap ⋮ Conformal invariance and vector operators in the \(O(N)\) model ⋮ A note on inhomogeneous ground states at large global charge ⋮ Critical exponents from the weak-coupling, strong-coupling and large-order parametrization of the hypergeometric \((_{k+1}F_k)\) approximants ⋮ Scalar CFTs and their large N limits ⋮ Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ ⋮ Superconformal blocks for mixed 1/2-BPS correlators with SU(2) R-symmetry ⋮ The 3d \(\mathcal{N} = 6\) bootstrap: from higher spins to strings to membranes ⋮ Factorized lightcone expansion of conformal blocks ⋮ Bootstrap methods in CFT ⋮ Scalar-fermion analytic bootstrap in 4D ⋮ 3d abelian gauge theories at the boundary ⋮ Critical O(N) model to orderϵ⁴from analytic bootstrap ⋮ Distributions in CFT. I: Cross-ratio space ⋮ Properties of the \(\epsilon\)-expansion, Lagrange inversion and associahedra and the O(1) model ⋮ Deligne categories in lattice models and quantum field theory, \textit{or} making sense of O(N) symmetry with non-integer N ⋮ On the \(\phi^3\) theory above six dimensions ⋮ New methods for conformal correlation functions ⋮ Carving out OPE space and precise O(2) model critical exponents ⋮ Towards bootstrapping RG flows: sine-Gordon in AdS ⋮ Exploring \(T\) and \(S\) parameters in Vector Mmeson Dominance models of strong electroweak symmetry breaking

Uses Software

Cites Work