Recursion relation for general 3d blocks

DOI10.1007/JHEP12(2019)116zbMath1431.81137arXiv1907.11247WikidataQ106730118 ScholiaQ106730118MaRDI QIDQ2303187

Rajeev S. Erramilli, Petr Kravchuk, Luca V. Iliesiu

Publication date: 2 March 2020

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

Full work available at URL: https://arxiv.org/abs/1907.11247

zbMATH Keywords

conformal field theoryconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (22)

Recursion relations for 5-point conformal blocks ⋮ Momentum space CFT correlators for Hamiltonian truncation ⋮ A scattering amplitude in conformal field theory ⋮ Mixed scalar-current bootstrap in three dimensions ⋮ The Gross-Neveu-Yukawa archipelago ⋮ Three-point energy correlators and the celestial block expansion ⋮ Convergent momentum-space OPE and bootstrap equations in conformal field theory ⋮ Conformal 3-point functions and the Lorentzian OPE in momentum space ⋮ Higher-point conformal blocks in the comb channel ⋮ \(\mathcal{N} = 2\) supersymmetric partially massless fields and other exotic non-unitary superconformal representations ⋮ Harmonic analysis in \(d\)-dimensional superconformal field theory ⋮ Towards Feynman rules for conformal blocks ⋮ Crossing symmetry for long multiplets in 4D \(\mathcal{N} = 1\) SCFTs ⋮ A multipoint conformal block chain in \(d\) dimensions ⋮ The gravity dual of Lorentzian OPE blocks ⋮ Differential operators for superconformal correlation functions ⋮ Gaudin models and multipoint conformal blocks. II: Comb channel vertices in 3D and 4D ⋮ Lightcone expansions of conformal blocks in closed form ⋮ Spinors and conformal correlators ⋮ Transverse spin in the light-ray OPE ⋮ Gaudin models and multipoint conformal blocks. III: Comb channel coordinates and OPE factorisation ⋮ The Pollica perspective on the (super)-conformal world

Uses Software

• CFTs4D
• SDPB
• PyCFTBoot
• JuliBootS

Cites Work

• Unnamed Item
• Projectors, shadows, and conformal blocks
• Bootstrapping the \(O\)(\(N\) ) vector models
• Diagonal limit for conformal blocks in \(d\) dimensions
• Bounding scalar operator dimensions in 4D CFT
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Restrictions imposed by superconformal invariance on quantum field theories
• Conformal partial waves and the operator product expansion
• The conformal bootstrap at finite temperature
• Momentum-space conformal blocks on the light cone
• Fermion-scalar conformal blocks
• Projectors and seed conformal blocks for traceless mixed-symmetry tensors
• Radial expansion for spinning conformal blocks
• Towards bootstrapping \(QED_{3}\)
• Recursion relations for conformal blocks
• Monopole operators in U(1) Chern-Simons-matter theories
• Scale anomalies, states, and rates in conformal field theory
• General bootstrap equations in 4D CFTs
• Casimir recursion relations for general conformal blocks
• Weight shifting operators and conformal blocks
• Counting conformal correlators
• The 3d stress-tensor bootstrap
• Graviton scattering and a sum rule for the c anomaly in 4D CFT
• Superconformal blocks: general theory
• Spinning conformal blocks
• Spinning conformal correlators
• Harmonic analysis and mean field theory
• Polology of superconformal blocks
• Fermion conformal bootstrap in 4d
• Bootstrapping SCFTs with four supercharges
• Shocks, superconvergence, and a stringy equivalence principle
• PyCFTBoot: A Flexible Interface for the Conformal Bootstrap
• Conformal four point functions and the operator product expansion

This page was built for publication: Recursion relation for general 3d blocks