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Infinite $\mathrm{T\bar T}$-like symmetries of compactified LST
by Silvia Georgescu, Monica Guica
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Submission summary
Authors (as registered SciPost users): | Silvia Georgescu |
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Preprint Link: | https://arxiv.org/abs/2212.09768v2 (pdf) |
Date accepted: | 2023-11-10 |
Date submitted: | 2023-10-30 11:11 |
Submitted by: | Georgescu, Silvia |
Submitted to: | SciPost Physics |
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Academic field: | Physics |
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Abstract
We show that the three-dimensional asymptotically linear dilaton background that arises in the near-horizon decoupling region of NS5-branes compactified on $T^4$ admits boundary conditions that lead to an infinite set of symmetries. The associated conserved charges, which implement field-dependent coordinate transformations, are found to be identical to the corresponding generators in a symmetric product orbifold of $T\bar T$ - deformed CFTs. Their algebra is a non-linear modification of the $\mathrm{Virasoro \times Virasoro}$ algebra, which precisely coincides with the algebra of the "unrescaled" symmetry generators in $T\bar T$-deformed CFTs. This further strengthens a previously proposed link between the single-trace $T\bar T$ deformation and compactified little string theory.
Author comments upon resubmission
List of changes
fixed typos, added references
Published as SciPost Phys. 16, 006 (2024)