D-branes in $\mathrm{AdS}_3\times \mathrm{S}^3\times \mathbb{T}^4$ at $k=1$ and their holographic duals

TL;DR

This paper constructs and analyzes D-branes in the minimal flux background of string theory on AdS3×S3×T4, demonstrating their correspondence with boundary states in the dual symmetric orbifold CFT and exploring their worldsheet localization properties.

Contribution

It introduces explicit D-brane constructions in the k=1 AdS3×S3×T4 background and establishes their holographic dual boundary states in the symmetric orbifold CFT.

Findings

Cylinder amplitudes match dual boundary states

Disk amplitudes localize on specific worldsheet points

Supports holographic duality at minimal flux

Abstract

String theory on $\text{AdS}_3\times \text{S}^3\times \mathbb{T}^4$ with minimal $k=1$ NS-NS flux can be described in terms of a free field worldsheet theory in the hybrid formalism. We construct various D-branes of this string theory and calculate their associated cylinder amplitudes. We find that these amplitudes match with the cylinder correlators of certain boundary states of the dual symmetric orbifold CFT $\text{Sym}(\mathbb{T}^4)$, thus suggesting a direct correspondence between these boundary conditions. We also show that the disk amplitudes of these D-branes localise to those points in the worldsheet moduli space where the worldsheet disk holomorphically covers the spacetime disk.