The analytic bootstrap in fermionic CFTs

DOI10.1007/JHEP01(2018)104zbMath1384.81124arXiv1711.02099MaRDI QIDQ1745518

Mark van Loon

Publication date: 17 April 2018

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

Full work available at URL: https://arxiv.org/abs/1711.02099

zbMATH Keywords

conformal field theoryglobal symmetrieshigher spin symmetryGross-Neveu model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

The conformal bootstrap at finite temperature, Light-ray operators in conformal field theory, Taming the \(\epsilon\)-expansion with large spin perturbation theory, Fermions in boundary conformal field theory: crossing symmetry and \(\epsilon\)-expansion, Scalar-fermion analytic bootstrap in 4D, Critical O(N) model to orderϵ⁴from analytic bootstrap

Uses Software

• GAMMA
• CFTs4D

Cites Work

• Bootstrapping the \(O\)(\(N\) ) vector models
• EPFL lectures on conformal field theory in \(D \geq 3\) dimensions
• A Mellin space approach to the conformal bootstrap
• Notes on spinning operators in fermionic CFT
• Diagonal limit for conformal blocks in \(d\) dimensions
• The analytic bootstrap and AdS superhorizon locality
• Bounding scalar operator dimensions in 4D CFT
• Infinite conformal symmetry in two-dimensional quantum field theory
• Restrictions imposed by superconformal invariance on quantum field theories
• Conformal partial waves and the operator product expansion
• Anomalous dimensions in CFT with weakly broken higher spin symmetry
• Analyticity in spin in conformal theories
• Crossing symmetry and higher spin towers
• Solving CFTs with weakly broken higher spin symmetry
• General bootstrap equations in 4D CFTs
• Simplifying large spin bootstrap in Mellin space
• Perturbative four-point functions from the analytic conformal bootstrap
• Large spin systematics in CFT
• On ${C}_{J}$ and ${C}_{T}$ in the Gross–Neveu andO(N) models
• The Conformal Bootstrap
• Higher Spin — CFT Duality
• On water, steam, and string theory