Holographic boundary conformal field theory with $T\bar{T}$ deformation

Abstract

We propose a holographic dual of boundary conformal field theory (BCFT) with $T\bar{T}$ deformation, i.e. of $T\bar{T}$ BCFT. Our holographic proposal distinguishes two types of $T\bar{T}$ BCFTs, depending on whether the $T\bar{T}$ deformation deforms the boundary. For the boundary-deformed case, we find that boundary entropy serves as an effective measure to quantify the impact of boundary deformation. In this scenario, we calculate the energy spectrum for the $T\bar{T}$ BCFT within a finite interval to support the proposed dual. For the boundary-undeformed case, we calculate the entanglement entropy and Rényi entropy from both the field theory side and the gravity side, and find that they match.

22 pages,11 figures. Same as the published version in JHEP

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