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September 22, 2025Open Access

On string theory on (deformed) AdS₃ T³

Key Points

Fermionic string theory is revisited on AdS3 and T3, revealing critical connections in string theory.
Analysis of single-trace Tbar T deformation shows it is dual to the symmetric product of SCFT2 on R×T3.
Winding-one operators in string theory correspond to delta-function normalizable operators in R×T3.
Properties of these operators illustrate their significance in understanding Tbar T-deformation boundaries.

Abstract

We revisit the fermionic string theory on AdS₃ N with k=1, and its single-trace T T deformation, with a focus on the (2, 2) superstring on (deformed) AdS₃ T³. In a certain limit, it is dual to the symmetric product of the (T T-deformed) SCFT₂ on R T³. We present the winding-one delta-function normalizable worldsheet operators which, in the k=1 decoupling limit, correspond to those of R T³ in spacetime. We then demonstrate how their properties in string theory reproduce those of R³, or more generally, of a (TT-deformed) R seed of the boundary theory.

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Cite This Study

Chakraborty et al. (Mon,) studied this question.

synapsesocial.com/papers/68d46fdc31b076d99fa6a6e7 https://doi.org/https://doi.org/10.48550/arxiv.2507.15929