Gaudin models and multipoint conformal blocks: general theory
From MaRDI portal
Publication:825752
DOI10.1007/JHEP10(2021)139zbMath1476.81108arXiv2105.00021OpenAlexW3206451018MaRDI QIDQ825752
Lorenzo Quintavalle, Ilija Burić, Jeremy A. Mann, Volker Schomerus, Sylvain Lacroix
Publication date: 17 December 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.00021
conformal field theoryintegrable hierarchiesdifferential and algebraic geometryspace-time symmetries
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
Recursion relations for 5-point conformal blocks, Conformal hypergeometry and integrability, Shadow celestial amplitudes, Multipoint lightcone bootstrap from differential equations, Multipoint correlators on the supersymmetric Wilson line defect CFT. II: Unprotected operators, Conformal multi-Regge theory, Multipoint correlators on the supersymmetric Wilson line defect CFT, Kaluza-Klein five-point functions from \(\mathrm{AdS}_5\times\mathrm{S}^5\) supergravity, The five-point bootstrap, Conformal integrals in four dimensions, Feynman rules for scalar conformal blocks, Universal spinning Casimir equations and their solutions, One- and two-dimensional higher-point conformal blocks as free-particle wavefunctions in \(\mathrm{AdS}_3^{\otimes m}\), Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D, Lightcone bootstrap at higher points, Spinors and conformal correlators, Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations, OPE statistics from higher-point crossing, Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation, Selected topics in analytic conformal bootstrap: a guided journey
Cites Work
- Unnamed Item
- Unnamed Item
- On elliptic Calogero-Moser systems for complex crystallographic reflection groups
- A multipoint conformal block chain in \(d\) dimensions
- New methods for conformal correlation functions
- Recursion relations for 5-point conformal blocks
- Limits of Gaudin systems: classical and quantum cases
- KZ equation, G-opers, quantum Drinfeld-Sokolov reduction, and quantum Cayley-Hamilton identity
- Harmonic analysis on the \(n\)-dimensional Lorentz group and its application to conformal quantum field theory
- Gaudin model, Bethe ansatz and critical level
- Conformal partial waves and the operator product expansion
- Witten diagrams revisited: the AdS geometry of conformal blocks
- Seed conformal blocks in 4D CFT
- Precision islands in the Ising and \(O(N)\) models
- Recursion relations for conformal blocks
- From spinning conformal blocks to matrix Calogero-Sutherland models
- Harmony of spinning conformal blocks
- The lightcone bootstrap and the spectrum of the 3d Ising CFT
- Multipoint conformal blocks in the comb channel
- Weight shifting operators and conformal blocks
- Conformal correlators of mixed-symmetry tensors
- Feigin-Frenkel center in types \(B\), \(C\) and \(D\)
- Towards Feynman rules for conformal blocks
- The light-ray OPE and conformal colliders
- Inozemtsev system as Seiberg-Witten integrable system
- Superconformal blocks: general theory
- Higher-point conformal blocks in the comb channel
- On the Virasoro six-point identity block and chaos
- Conformal correlation functions in four dimensions from quaternionic Lauricella system
- Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
- Spinning conformal blocks
- Spinning conformal correlators
- Limits of Gaudin algebras, quantization of bending flows, Jucys-Murphy elements and Gelfand-Tsetlin bases
- 20' five-point function from \(\mathrm{AdS}_{5} \times S^5\) supergravity
- Holographic dual of the five-point conformal block
- Integrability of conformal blocks. I: Calogero-Sutherland scattering theory
- The quantum Gaudin system
- Large spin systematics in CFT
- Scattering equations in AdS: scalar correlators in arbitrary dimensions
- AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
- Cactus Group and Monodromy of Bethe Vectors
- Sugawara Operators for Classical Lie Algebras
- Conformal four point functions and the operator product expansion
