Higher spin AdS_3 holography with extended supersymmetry

TL;DR

This paper proposes a holographic duality between higher spin AdS_3 gravity with extended supersymmetry and a large N limit of a Grassmannian-like model, providing evidence through partition functions and symmetry analysis.

Contribution

It introduces a new duality involving extended supersymmetry in AdS_3 and a specific 2D CFT, including symmetry generators and potential string theory connections.

Findings

Match of one-loop partition functions

Construction of symmetry generators for low spins

Discussion of BPS states and deformations

Abstract

We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k=N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins which are dual to gauge fields in the supergravity. Further, we discuss a possible relation to superstring theory by noticing an N=3 supersymmetry of critical level model at finite k,N. In particular, we examine BPS states and marginal deformations. Inspired by the supergravity side, we also propose and test another large N CFT dual obtained as a Z_2 automorphism truncation of a similar coset model, but at a non-critical level.