Holography of the N=1 Higher-Spin Theory on AdS4

TL;DR

This paper explores the holographic duality between N=1 higher-spin theories on AdS4 and N=1 supersymmetric O(N) vector models in three dimensions, highlighting boundary conditions, phases, and symmetry breaking.

Contribution

It establishes a specific holographic duality for N=1 higher-spin theories on AdS4 and analyzes boundary conditions and symmetry breaking mechanisms.

Findings

Duality between N=1 higher-spin theory and supersymmetric vector model

Boundary conditions connect free and interacting phases

Parity plays a crucial role in the holographic correspondence

Abstract

We argue that the N=1 higher-spin theory on AdS4 is holographically dual to the N=1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT correspondence in which both regular and irregular bulk modes have similar roles and their interplay leads simultaneously to both the free and the interacting phases of the boundary theory. We study various boundary conditions that correspond to boundary deformations connecting, for large-N, the free and interacting boundary theories. We point out the importance of parity in this holography and elucidate the Higgs mechanism responsible for the breaking of higher-spin symmetry for subleading N.