On (Un)Broken Higher-Spin Symmetry in Vector Models

Abstract

The simplest consequences of exact and broken higher-spin symmetry are studied. The one-loop anomalous dimensions of higher-spin currents are determined from the multiplet recombination in the spirit of the modern bootstrap programme: the Wilson-Fisher CFT is studied both in the epsilon-expansion and in the large-N. The bulk implications are briefly addressed: part of the higher-spin theory cubic action is reconstructed; one-loop corrections to the AdS masses of higher-spin fields are discussed.

35 pages=27+Appendices; tiny modifications, typos fixed

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Cited by in corpus (8)

• A Mellin space approach to the conformal bootstrap
• Conformal Bootstrap in Mellin Space
• Long-range critical exponents near the short-range crossover
• Solving CFTs with Weakly Broken Higher Spin Symmetry
• Anomalous dimensions of spinning operators from conformal symmetry
• One Loop Tests of Supersymmetric Higher Spin $Ad{S}_4/CF{T}_3$
• Broken current anomalous dimensions, conformal manifolds and RG flows
• Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges