On-shell action of TT-deformed Holographic CFTs

Abstract

In this work, we study the holographic dual of the TT deformation following the mixed boundary condition proposal. We point out that a boundary term should be included in the gravity action in the holographic dictionary. In particular, we consider the deformed CFT defined on a sphere (dS) or AdS background and explain the difference between the holographic results and field theory results.

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