Higher spin AdS_3 supergravity and its dual CFT

TL;DR

This paper studies Vasiliev's higher spin supergravity in AdS_3, computes its one-loop partition function, and proposes a dual N=(2,2) CP^N Kazama-Suzuki CFT, indicating a strong-weak self-duality.

Contribution

It provides the first detailed computation of the partition function for higher spin supergravity in AdS_3 and proposes a specific dual CFT based on symmetry and partition function matching.

Findings

Partition function computed at one loop level.

Dual CFT proposed as N=(2,2) CP^N Kazama-Suzuki model.

Evidence suggests the theory is self-dual under strong-weak coupling.

Abstract

Vasiliev's higher spin supergravity theory on three dimensional anti-de Sitter space is studied and, in particular, the partition function is computed at one loop level. The dual conformal field theory is proposed to be the N=(2,2) CP^N Kazama-Suzuki model in two dimensions. The proposal is based on symmetry considerations and comparison of the bulk partition function with the conformal field theory. Our findings suggest that the theory is strong-weak self-dual.