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Infinite $\mathrm{T\bar T}$-like symmetries of compactified LST

by Silvia Georgescu, Monica Guica

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Silvia Georgescu
Submission information
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
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.

Author comments upon resubmission

We implemented the minor modifications suggested by the referee.

List of changes

fixed typos, added references

Published as SciPost Phys. 16, 006 (2024)

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