Glue-on AdS holography for T T ¯ $$ T\overline{T} $$ -deformed CFTs

Abstract

Abstract The T T ¯ $$ T\overline{T} $$ deformation is a solvable irrelevant deformation whose properties depend on the sign of the deformation parameter μ. In particular, T T ¯ $$ T\overline{T} $$ -deformed CFTs with μ 0, in which case the bulk geometry is constructed by gluing a patch of AdS3 to the original spacetime. As evidence, we show that the T T ¯ $$ T\overline{T} $$ 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 AdS3.

Keywords

• AdS-CFT Correspondence
• Conformal Field Models in String Theory
• Integrable Field Theories