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

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 Compére, 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.

arXiv comment15 pages, typos corrected, clarifications added