The Spectrum of N=3 String Theory on AdS_3 x G/H

TL;DR

This paper analyzes the spectrum of N=3 string theory on specific AdS_3 backgrounds, revealing similarities and differences with N=4 theories, and providing insights into the structure of dual CFTs.

Contribution

It computes the spacetime spectrum of N=3 supersymmetric dual CFTs on AdS_3 backgrounds using worldsheet methods, highlighting unique features compared to N=4 theories.

Findings

Chiral primary spectra coincide in both models.

The symmetric product building block is not alone in the moduli space.

Differences from N=4 theories in the structure of the symmetric product.

Abstract

We continue the study of string theory on AdS_3 x SU(3)/U(1) and AdS_3 x SO(5)/SO(3). We compute the spacetime spectrum of the N=3 supersymmetric dual CFT using worldsheet techniques. The spectrum of chiral primaries coincides for the two models. Unlike N=4 theories, the building block of the symmetric product in spacetime (corresponding to a single long string) is not by itself in the moduli space of a symmetric product.