Taming the \(\epsilon\)-expansion with large spin perturbation theory

DOI10.1007/JHEP07(2018)131zbMath1395.81197arXiv1712.02314MaRDI QIDQ2413736

Johan Henriksson, Luis F. Alday, Mark van Loon

Publication date: 14 September 2018

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

Full work available at URL: https://arxiv.org/abs/1712.02314

zbMATH Keywords

conformal field theoryrenormalization groupconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Renormalization group methods applied to problems in quantum field theory (81T17)

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Cites Work

• Comments on operators with large spin
• The analytic structure of conformal blocks and the generalized Wilson-Fisher fixed points
• A Mellin space approach to the conformal bootstrap
• Higher-spin correlators
• The analytic bootstrap and AdS superhorizon locality
• Bounding scalar operator dimensions in 4D CFT
• Precision islands in the Ising and \(O(N)\) models
• An algebraic approach to the analytic bootstrap
• The lightcone bootstrap and the spectrum of the 3d Ising CFT
• Mellin space bootstrap for global symmetry
• Leading order anomalous dimensions at the Wilson-Fisher fixed point from CFT
• Higher spin currents in the critical \(O(N)\) vector model at \(1/N^2\)
• Analyticity in spin in conformal theories
• A Tauberian theorem for the conformal bootstrap
• Solving CFTs with weakly broken higher spin symmetry
• The analytic bootstrap in fermionic CFTs
• Anomalous dimensions of spinning operators from conformal symmetry
• Simplifying large spin bootstrap in Mellin space
• On the higher spin spectrum of Chern-Simons theory coupled to fermions in the large flavour limit
• Perturbative four-point functions from the analytic conformal bootstrap
• Towards a bootstrap approach to higher orders of epsilon expansion
• The structure of the spectrum of anomalous dimensions in the \(N\)-vector model in \(4-\epsilon\) dimensions
• Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents
• Revisiting the dilatation operator of the Wilson-Fisher fixed point
• A spacetime derivation of the Lorentzian OPE inversion formula
• \(\epsilon\)-expansions near three dimensions from conformal field theory
• Large spin systematics in CFT
• The $\epsilon $-expansion from conformal field theory
• Conformal four point functions and the operator product expansion