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

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.

arXiv comment49 pages, 3 figures

References in corpus (13)

• Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• The Worldsheet Dual of the Symmetric Product CFT
• Superstrings on AdS3 at k=1
• Characters and modular properties of permutation orbifolds
• Permutation Branes
• Boundary States for AdS_2 Branes in AdS_3
• Comments on D-branes in AdS_3
• Some comments on Anti-de Sitter D-branes
• Open Strings on AdS_2 Branes
• Boundary States of D-branes in AdS_3 Based on Discrete Series
• The physical states of the Hybrid Formalism

Cited by in corpus (1)

• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality