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Criticality of central charges for Gauss-Bonnet black holes

2024/04/09 by Hong-Ming Cui, Zhong-Ying Fan, Cui, Hong-Ming +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2404.05945

openalex publication_date 2024/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Employing extended phase space formalism, we study critical phenomenon of A-charge and C-charge for holographic theories dual to Gauss-Bonnet black holes. We find a universal critical Gauss-Bonnet coupling, giving rise to a universal ratio between the two central charges at the critical point. This leads to a new intepretation for critical behavior of Gauss-Bonnet black holes in terms of the boundary degrees of freedoms, although the solutions are electrically neutral. Another novel feature is for either of the central charges, the transition temperature is beyond the critical point but is upper bounded by causality of the boundary theories.

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