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

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