T T ¯ deformations of holographic warped CFTs

We explore T T ¯ deformations of warped conformal field theories (WCFTs) in two dimensions as examples of T T ¯ deformed nonrelativistic quantum field theories. WCFTs are quantum field theories with a Virasoro ×U (1 ) Kac-Moody symmetry. We compute the deformed symmetry algebra of a T T ¯ deformed holographic WCFT, using the asymptotic symmetries of AdS₃ with T T ¯ deformed Compére, Song, and Strominger 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.