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

Georgescu, Silvia; Guica, Monica

doi:10.21468/SciPostPhys.16.1.006

SciPost Physics

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

Silvia Georgescu, Monica Guica

SciPost Phys. 16, 006 (2024) · published 8 January 2024

doi: 10.21468/SciPostPhys.16.1.006
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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 Virasoro × 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.006
TI  - Infinite $\mathrm{T\bar T}$-like symmetries of compactified LST
PY  - 2024/01/08
UR  - https://scipost.org/SciPostPhys.16.1.006
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 006
A1  - Georgescu, Silvia
AU  - Guica, Monica
AB  - 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 Virasoro × 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.
ER  -

@Article{10.21468/SciPostPhys.16.1.006,
	title={{Infinite $\mathrm{T\bar T}$-like symmetries of compactified LST}},
	author={Silvia Georgescu and Monica Guica},
	journal={SciPost Phys.},
	volume={16},
	pages={006},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.006},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.006},
}

Cited by 4

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¹ ² Silvia Georgescu,
² Monica Guica

Funders for the research work leading to this publication