D-Branes in $\textbf{AdS}_3\times \textbf{S}^3 \times \textbf{S}^3 \times \textbf{S}^1$

TL;DR

This paper investigates spherical D-branes in string theory on AdS3×S3×S3×S1 with NS flux, identifying them with branes in the dual symmetric orbifold of free fermions and bosons, and briefly discusses AdS2 branes.

Contribution

It provides a detailed analysis of spherical D-branes in this specific AdS3 background and their correspondence with branes in the dual symmetric orbifold theory.

Findings

Identification of spherical D-branes with dual orbifold branes

Analysis of the brane configurations in the NS-flux background

Brief discussion on AdS2 branes in the same setup

Abstract

String theory on $\mathrm{ AdS}_3\times \mathrm{ S}^3 \times \mathrm{ S}^3 \times \mathrm{S}^1$ with two units of NS flux through each of the two $3$-spheres (and one unit of NS flux supporting the $\mathrm{AdS}_3$ factor) was recently argued to be exactly dual to the symmetric orbifold of eight free fermions and two bosons. This setup is interesting since it allows for a simple NS-R description. In this paper we study the spherical D-branes of this theory, and identify them with branes in the dual symmetric orbifold theory. We also comment briefly on the $\mathrm{ AdS}_2$ branes.