New methods for conformal correlation functions
From MaRDI portal
Publication:783833
DOI10.1007/JHEP06(2020)028zbMath1437.81038arXiv1905.00434OpenAlexW3105694856MaRDI QIDQ783833
Jean-François Fortin, Witold Skiba
Publication date: 4 August 2020
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.00434
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (19)
Gaudin models and multipoint conformal blocks: general theory ⋮ Recursion relations for 5-point conformal blocks ⋮ The five-point bootstrap ⋮ Missing corner in the sky: massless three-point celestial amplitudes ⋮ Feynman rules for scalar conformal blocks ⋮ Conformal contact terms and semi-local terms ⋮ Superconformal block from holographic geometry ⋮ Conformal correlation functions in four dimensions from quaternionic Lauricella system ⋮ Towards Feynman rules for conformal blocks ⋮ Dimensional reduction of higher-point conformal blocks ⋮ More on holographic correlators: twisted and dimensionally reduced structures ⋮ Crossing symmetry for long multiplets in 4D \(\mathcal{N} = 1\) SCFTs ⋮ 20' five-point function from \(\mathrm{AdS}_{5} \times S^5\) supergravity ⋮ Propagator identities, holographic conformal blocks, and higher-point AdS diagrams ⋮ Efficient rules for all conformal blocks ⋮ Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D ⋮ Conformal conserved currents in embedding space ⋮ Spinors and conformal correlators ⋮ Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation
Uses Software
Cites Work
- Exploring the minimal 4D \( \mathcal{N}=1 \) SCFT
- Wave equations in conformal space
- The Conformal Bootstrap
- Bounds in 4D conformal field theories with global symmetry
- Geodesic Witten diagrams with an external spinning field
- On the system of partial differential equations associated with Appell's function F4
- PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
- Conformal four point functions and the operator product expansion
- Spinning Mellin Bootstrap: Conformal Partial Waves, Crossing Kernels and Applications
- Projectors, shadows, and conformal blocks
- Bootstrapping the \(O\)(\(N\) ) vector models
- Bounds on \( \mathcal{N} = 1\) superconformal theories with global symmetries
- Bounds on OPE coefficients in 4D conformal field theories
- The \(a\)-theorem and the asymptotics of 4D quantum field theory
- A note on CFT correlators in three dimensions
- EPFL lectures on conformal field theory in \(D \geq 3\) dimensions
- Deep inelastic scattering in conformal QCD
- Bounds on 4D conformal and superconformal field theories
- Bootstrapping \( \mathcal{N}=3 \) superconformal theories
- The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points
- Anatomy of geodesic Witten diagrams
- Cut-touching linear functionals in the conformal bootstrap
- Geodesic diagrams, gravitational interactions \& OPE structures
- Spinning Witten diagrams
- The bootstrap program for boundary \(\mathrm{CFT}_d\)
- Limit cycles and conformal invariance
- Higher symmetries of the Laplacian
- Bounding scalar operator dimensions in 4D CFT
- Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory
- Conformal partial waves and the operator product expansion
- Light-ray operators in conformal field theory
- A new spin on causality constraints
- \(\phi^{3}\) 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
- Seed conformal blocks in 4D CFT
- The \( \mathcal{N}=2 \) superconformal bootstrap
- Fermion-scalar conformal blocks
- Bootstrapping \(O(N)\) vector models with four supercharges in \(3\leq d\leq 4\)
- Conformal bootstrap with slightly broken higher spin symmetry
- 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 \(QED_{3}\)
- Dimensional reduction for conformal blocks
- Recursion relations for conformal blocks
- From spinning conformal blocks to matrix Calogero-Sutherland models
- Bootstrapping hypercubic and hypertetrahedral theories in three dimensions
- Bulk phase shift, CFT Regge limit and Einstein gravity
- Bootstrapping mixed correlators in the five dimensional critical \(O(N)\) models
- An algebraic approach to the analytic bootstrap
- Harmony of spinning conformal blocks
- Action principle for OPE
- Bootstrapping mixed correlators in 4D \( \mathcal{N} =1\) SCFTs
- Averaged null energy condition from causality
- Carving out the end of the world or (superconformal bootstrap in six dimensions)
- Analyticity in spin in conformal theories
- Spinning geodesic Witten diagrams
- Crossing symmetry in alpha space
- Conformal bootstrap in the Regge limit
- Einstein gravity 3-point functions from conformal field theory
- Crossing symmetry and higher spin towers
- Long multiplet bootstrap
- Solving CFTs with weakly broken higher spin symmetry
- Scalar blocks as gravitational Wilson networks
- Multipoint conformal blocks in the comb channel
- General bootstrap equations in 4D CFTs
- Simplifying large spin bootstrap in Mellin space
- 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
- Mellin amplitudes for fermionic conformal correlators
- Extremal bootstrapping: go with the flow
- Conformal correlators of mixed-symmetry tensors
- Conformal Regge theory
- AdS weight shifting operators
- Scalar CFTs and their large N limits
- Spinning conformal defects
- Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ
- Thomas's structure bundle for conformal, projective and related structures
- Conformal constraints on defects
- Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
- Spinning conformal blocks
- Spinning conformal correlators
- On renormalization group flows in four dimensions
- Improved bounds for CFT's with global symmetries
- More analytic bootstrap: nonperturbative effects and fermions
- Spinning operators and defects in conformal field theory
- Exact correlation functions in conformal fishnet theory
- Harmonic analysis and mean field theory
- Scalar-fermion analytic bootstrap in 4D
- Generalized fishnets and exact four-point correlators in chiral $\mathrm{CFT}_{4}$
- Fermion conformal bootstrap in 4d
- Recursion relations in Witten diagrams and conformal partial waves
- Conformal differential operator in embedding space and its applications
- A spacetime derivation of the Lorentzian OPE inversion formula
- Integrability of conformal blocks. I: Calogero-Sutherland scattering theory
- $d$-dimensional SYK, AdS loops, and $6j$ symbols
- Multiplets of superconformal symmetry in diverse dimensions
- Deconstructing conformal blocks in 4D CFT
- Bootstrapping SCFTs with four supercharges
- Large spin systematics in CFT
- Bootstrapping the \(O\)(\(N\)) archipelago
This page was built for publication: New methods for conformal correlation functions