Glue-on AdS holography for TT̄-deformed CFTs

A bstract The TT̄ T T ¯ deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter μ . In particular, TT̄ T T ¯ -deformed CFTs with μ < 0 have been proposed to be holographically dual to Einstein gravity where the metric satisfies Dirichlet boundary conditions at a finite cutoff surface. In this paper, we put forward a holographic proposal for TT̄ T T ¯ -deformed CFTs with μ > 0, in which case the bulk geometry is constructed by gluing a patch of AdS 3 to the original spacetime. As evidence, we show that the TT̄ T T ¯ trace flow equation, the spectrum on the cylinder, and the partition function on the torus and the sphere, among other results, can all be reproduced from bulk calculations in glue-on AdS 3 .