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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/2212.09768v1 (pdf) |
| Date submitted: | 2023-08-02 12:06 |
| Submitted by: | Georgescu, Silvia |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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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.
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Reports on this Submission
Report #2 by Anonymous (Referee 2) on 2023-9-13 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2212.09768v1, delivered 2023-09-13, doi: 10.21468/SciPost.Report.7820
Report
The authors studied the asymptotic symmetry algebra of asymptotically linear dilaton backgrounds. The authors studied in depth and several results are presented. I recommend it for publications once the minor changes listed in item 2 of the report attached below are addressed.