N=1 supersymmetric higher spin holography on AdS_3

TL;DR

This paper proposes a duality between N=1 supergravity with higher spins on AdS_3 and a large N limit of N=(1,1) superconformal field theories, supported by partition function comparisons and symmetry analysis.

Contribution

It introduces a new holographic duality involving N=1 supergravity and supersymmetric coset models, extending higher spin holography to N=1 supersymmetry.

Findings

Agreement of one-loop partition functions supports the duality

Explicit computation of coset algebra fields of various dimensions

Analysis of symmetries in the dual coset model

Abstract

We propose a duality between a higher spin N=1 supergravity on AdS_3 and a large N limit of a family of N=(1,1) superconformal field theories. The gravity theory is an N=1 truncation of the N=2 supergravity found by Prokushkin and Vasiliev, and the dual conformal field theory is defined by a supersymmetric coset model. We check this conjecture by comparing one loop partition functions and find agreement. Moreover, we study the symmetry of the dual coset model and in particular compute fields of the coset algebra of dimension 3/2, 2, 2 and 5/2 explicitely.