The masses of higher spin fields on AdS_4 and conformal perturbation theory

Abstract

We study the breaking of gauge symmetry for higher spin theory on AdS_4 dual to the 3d critical O(N) vector model. It was argued that the breaking is due to the change of boundary condition for a scalar field through a loop effect and the Goldstone modes are bound states of a scalar field and higher spin field. The masses of higher spin fields were obtained from the anomalous dimensions of dual currents at the leading order in 1/N, and we reproduce them from the O(N) vector model in the conformal perturbation theory. The anomalous dimensions can be computed from the bulk theory using Witten diagrams, and we show that the bulk computation reduces to the boundary one in the conformal perturbation theory. With this fact our computation provides an additional support for the bulk interpretation.

28 pages, 4 figures, an appendix and clarifications added, published version

References in corpus (9)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Higher Spins & Strings
• Higher Spins in AdS and Twistorial Holography
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• String Theory as a Higher Spin Theory
• Higher spin AdS_3 holography with extended supersymmetry
• Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization
• The Epsilon-Expansion from Conformal Field Theory

Cited by in corpus (6)

• Spinning AdS Loop Diagrams: Two Point Functions
• Anomalous Dimensions in the WF O($N$) Model with a Monodromy Line Defect
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• On the Higher Spin Spectrum of Chern-Simons Theory coupled to Fermions in the Large Flavour Limit
• Anomalous dimensions of higher spin currents in large N CFTs
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry