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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
Submission information
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
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory

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.

Current status:
Has been resubmitted

Reports on this Submission

Report #2 by Anonymous (Referee 1) 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.

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Report #1 by Anonymous (Referee 2) on 2023-8-16 (Invited Report)

Report

This is an interesting paper in a series of works on the topic.
The results are non-trivial, intriguing,
and raise further questions.
I recommend it for publication.

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