A further support for the statement that the action of the HRT-area generates a kink transformation in the pure AdS$_3$ gravity

Fuente: arXiv
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Autori principali: Qi, Mai, Wang, Xiao-Shuai, Wu, Jie-qiang
Natura: Preprint
Pubblicazione: 2025
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author Qi, Mai
Wang, Xiao-Shuai
Wu, Jie-qiang
author_facet Qi, Mai
Wang, Xiao-Shuai
Wu, Jie-qiang
contents It is stated that the action of the Hubeny-Rangamani-Takayanagi (HRT) area, which is viewed as an observable, generates a kink transformation in gravity. In this paper, we provide a further support for the kink transformation statement by performing a relevant computation. Specifically, by acting the kink transformation to the boundary stress tensor, we compute the bracket between the HRT area with the boundary stress tensor. Here we represent the boundary stress tensor in terms of initial data on the Cauchy surface under holographic renormalization. Our computation reproduces the same result as the one in arXiv:2203.04270 derived from a different approach.
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id arxiv_https___arxiv_org_abs_2512_10289
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A further support for the statement that the action of the HRT-area generates a kink transformation in the pure AdS$_3$ gravity
Qi, Mai
Wang, Xiao-Shuai
Wu, Jie-qiang
High Energy Physics - Theory
It is stated that the action of the Hubeny-Rangamani-Takayanagi (HRT) area, which is viewed as an observable, generates a kink transformation in gravity. In this paper, we provide a further support for the kink transformation statement by performing a relevant computation. Specifically, by acting the kink transformation to the boundary stress tensor, we compute the bracket between the HRT area with the boundary stress tensor. Here we represent the boundary stress tensor in terms of initial data on the Cauchy surface under holographic renormalization. Our computation reproduces the same result as the one in arXiv:2203.04270 derived from a different approach.
title A further support for the statement that the action of the HRT-area generates a kink transformation in the pure AdS$_3$ gravity
topic High Energy Physics - Theory
url https://arxiv.org/abs/2512.10289