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

2015/12/18 by Evgeny Skvortsov, E. D. Skvortsov, Skvortsov, E. D. · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.48550/arxiv.1512.05994

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

openalex publication_date 2015/12/18 · arxiv created 2015/12/29 · arxiv updated 2015/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Higher Spin Gravity Amplitudes From Zero-form Charges
• A Note on CFT Correlators in Three Dimensions
• Constraining conformal field theories with a higher spin symmetry
• The Epsilon-Expansion from Conformal Field Theory

Cited by

• Redundancy Channels in the Conformal Bootstrap
• Anomalous dimensions at small spins
• Disturbing news about the d=2+ε expansion

Related

• On symmetry breaking in the self-dual higher-spin theory
• TASI Lectures on the Higher Spin - CFT duality
• A Spin on the Bulk Locality of Slightly Broken Higher Spin Theories
• Constraining conformal field theories with a higher spin symmetry
• Aspects of Higher-Spin Theory with Fermions