Glue-on AdS holography for T (T)over-bar-deformed CFTs

The T (T) over bar deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter mu. In particular, T (T) over bar -deformed CFTs with mu < 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 T<(T)over bar>-deformed CFTs with mu > 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 T (T) over bar 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).