On type II string theory on $AdS_3\times S^3\times T^4$ and symmetric orbifolds

Ofer Aharony; Erez Y. Urbach

paper

On type II string theory on $A d S_{3} \times S^{3} \times T^{4}$ and symmetric orbifolds

arXiv:2406.14605

Abstract

We discuss in detail the $1 + 1$ -dimensional superconformal field theory dual to type II string theory on $A d S_{3} \times S^{3} \times T^{4}$ , emphasizing the string theoretic aspects of this duality. For one unit of NS-NS 5-brane flux ( $Q_{5} = 1$ ), this string theory has been suggested to be dual to a grand-canonical ensemble of $T^{4 N} / S_{N}$ free symmetric orbifold CFTs. We show how the string genus expansion emerges to all orders for the free orbifold grand-canonical correlation functions. We also discuss how the strong coupling limit of the NS-NS string theory arises (even at large $N$ ) in the free orbifold description, and argue why this limit does not have a weakly coupled R-R description. The dual CFT includes (for all values of $Q_{5}$ ) an extra $T^{4}$ factor that is decoupled from perturbative string theory. We discuss the exactly marginal deformations that relate the different values of $Q_{5}$ , including the precise $J J ˉ$ deformations mixing this extra $T^{4}$ with the symmetric orbifold.

28 pages and an appendix (1 figure). v2: added references and minor changes

On type II string theory on AdS3​×S3×T4 and symmetric orbifolds

Abstract

Cited by in corpus (2)

On type II string theory on $A d S_{3} \times S^{3} \times T^{4}$ and symmetric orbifolds