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arXiv · 2411.06345

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

Zhi Wang·Feiyu Deng
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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 R\'enyi entropy from both the field theory side and the gravity side, and find that they match.

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Zhi Wang, Feiyu Deng. 2024-11-10. Holographic boundary conformal field theory with $T\bar T$ deformation. https://doi.org/10.1007/jhep01(2025)020

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