Higher spins in the symmetric orbifold of K3

TL;DR

This paper explores the duality between the symmetric orbifold of K3 and higher spin theories on AdS3, identifying a subsector that captures BPS states and enhances understanding of string theory in this context.

Contribution

It identifies a specific subsector of the symmetric orbifold of K3 that corresponds to a higher spin theory on AdS3, clarifying the BPS spectrum correspondence.

Findings

A subsector of the symmetric orbifold of K3 is dual to a higher spin theory on AdS3.

The BPS spectrum of string theory can be partially described by the higher spin perspective.

Certain single-particle BPS states are accounted for by the perturbative higher spin theory.

Abstract

The symmetric orbifold of K3 is believed to be the CFT dual of string theory on AdS3 x S3 x K3 at the tensionless point. For the case when the K3 is described by the orbifold T4/Z2, we identify a subsector of the symmetric orbifold theory that is dual to a higher spin theory on AdS3. We analyse how the BPS spectrum of string theory can be described from the higher spin perspective, and determine which single-particle BPS states are accounted for by the perturbative higher spin theory.