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

Ofer Aharony; Erez Y. Urbach

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arXiv · 2406.14605

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

Ofer Aharony·Erez Y. Urbach

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Abstract

We discuss in detail the $1+1$-dimensional superconformal field theory dual to type II string theory on $AdS_3\times S^3\times T^4$, 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 $T^{4N}/S_N$ 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 $J{\bar J}$ deformations mixing this extra $T^4$ with the symmetric orbifold.

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Ofer Aharony, Erez Y. Urbach. 2024-06-20. On type II string theory on $AdS_3\times S^3\times T^4$ and symmetric orbifolds. https://arxiv.org/abs/2406.14605

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