Topological perspective on bulk boundary thermodynamic equivalence

Fuente: arXiv
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Autores principales: Yang, Si-Jiang, Wu, Shan-Ping, Wei, Shao-Wen, Liu, Yu-Xiao
Formato: Preprint
Publicado: 2025
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author Yang, Si-Jiang
Wu, Shan-Ping
Wei, Shao-Wen
Liu, Yu-Xiao
author_facet Yang, Si-Jiang
Wu, Shan-Ping
Wei, Shao-Wen
Liu, Yu-Xiao
contents We establish an exact duality between the extended thermodynamics of five-dimensional charged Gauss-Bonnet AdS black holes and the thermodynamic framework of the dual boundary conformal field theory (CFT). The thermodynamics of the dual CFT involves two central charges originating from the trace anomaly. We demonstrate a precise correspondence between the extended first laws on the bulk and boundary sides. Moreover, the topological charges of the CFT thermodynamics, associated with the phase transition and critical point, coincide with those of the corresponding bulk black hole.
format Preprint
id arxiv_https___arxiv_org_abs_2512_21608
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topological perspective on bulk boundary thermodynamic equivalence
Yang, Si-Jiang
Wu, Shan-Ping
Wei, Shao-Wen
Liu, Yu-Xiao
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We establish an exact duality between the extended thermodynamics of five-dimensional charged Gauss-Bonnet AdS black holes and the thermodynamic framework of the dual boundary conformal field theory (CFT). The thermodynamics of the dual CFT involves two central charges originating from the trace anomaly. We demonstrate a precise correspondence between the extended first laws on the bulk and boundary sides. Moreover, the topological charges of the CFT thermodynamics, associated with the phase transition and critical point, coincide with those of the corresponding bulk black hole.
title Topological perspective on bulk boundary thermodynamic equivalence
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.21608