Stringy CFT Duals with $\mathcal{N} = (2,2)$ Supersymmetry

TL;DR

This paper extends the known duality between string theory on AdS3 backgrounds and symmetric orbifold CFTs to include Dn orbifolds with  supersymmetry, showing the dual CFT is the symmetric orbifold of T4 mod Dn.

Contribution

It demonstrates that the duality between string theory on AdS3 backgrounds and symmetric orbifold CFTs applies to Dn orbifolds with  supersymmetry, generalizing previous results.

Findings

Duality holds for Dn orbifolds with  supersymmetry.

The CFT dual is the symmetric orbifold of T4/Dn.

Extends the string/CFT duality to new orbifold backgrounds.

Abstract

It was recently shown that string theory on $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux ($k = 1$) is exactly dual to the symmetric orbifold of T4. Here we show that a similar statement also holds for the $D_n$ orbifolds of these backgrounds that have $\mathcal{N} = (2, 2)$ supersymmetry. In this case the CFT dual is the symmetric orbifold of $\mathbb{T}^4/D_n$.