$T \overline T$-Deformations of Holographic Warped CFTs

Rahul Poddar

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arXiv · 2305.15476

$T \overline T$-Deformations of Holographic Warped CFTs

Rahul Poddar

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Abstract

We explore $T \overline T$ deformations of Warped Conformal Field Theories (WCFTs) in two dimensions as examples of $T\overline T$ deformed non-relativistic quantum field theories. WCFTs are quantum field theories with a Virasoro$\times$U(1) Kac-Moody symmetry. We compute the deformed symmetry algebra of a $T\overline T$ deformed holographic WCFT, using the asymptotic symmetries of AdS$_3$ with $T \overline T$ deformed Comp\'ere, Song and Strominger (CSS) boundary conditions. The U(1) Kac-Moody symmetry survives provided one allows the boundary metric to transform under the asymptotic symmetry. The Virasoro sector remains but is now deformed and no longer chiral.

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Rahul Poddar. 2023-05-24. $T \overline T$-Deformations of Holographic Warped CFTs. https://arxiv.org/abs/2305.15476

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