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Main Authors: Wang, Zhi, Deng, Feiyu
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.06345
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author Wang, Zhi
Deng, Feiyu
author_facet Wang, Zhi
Deng, Feiyu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_06345
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holographic boundary conformal field theory with $T\bar T$ deformation
Wang, Zhi
Deng, Feiyu
High Energy Physics - Theory
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.
title Holographic boundary conformal field theory with $T\bar T$ deformation
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.06345