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Using the Bragg-Williams construction of an off-shell free energy we compute the topological charge of the Hawking-Page transition point for black holes in AdS. A computation following from a related off-shell effective potential in the…

High Energy Physics - Theory · Physics 2022-10-12 Pavan Kumar Yerra , Chandrasekhar Bhamidipati , Sudipta Mukherji

The thermodynamic criticality of the AdS black holes serves as an important structure during the thermal phase transition. This paper discusses about the critical points and their topology during thermal phase transitions of the Born-Infeld…

High Energy Physics - Theory · Physics 2024-05-14 Md Sabir Ali , Hasan El Moumni , Jamal Khalloufi , Karima Masmar

Thermodynamics of black holes in anti de Sitter (AdS) spacetimes typically contains critical points in the phase diagram, some of which correspond to the first order transition ending in a second order one. Following the recent proposal in…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Pavan Kumar Yerra , Chandrasekhar Bhamidipati

One of the new methods that can be used to study the thermodynamics critical points of a system based on a topological approach is the study of topological charges using Duan's $\phi$-mapping method. In this article, we will attempt to use…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Mohammad Reza Alipour , Mohammad Ali S. Afshar , Saeed Noori Gashti , Jafar Sadeghi

We perform a topological classification of the phase structure of a four-dimensional AdS black hole with non-minimal Maxwell coupling. Critical points are treated as topological defects, allowing us to assign a winding number to each black…

High Energy Physics - Theory · Physics 2026-05-25 Faramarz Rahmani , Mehdi Sadeghi

In this study, we investigate the thermodynamic topology of the high-dimensional dyonic AdS black holes with quasitopological electromagnetism in the Einstein-Gauss-Bonnet background. We first examine the topological charge connected to the…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Hao Chen , Meng-Yao Zhang , Hassan Hassanabadi , Bekir Can Lütfüoğlu , Zheng-Wen Long

Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended…

High Energy Physics - Theory · Physics 2023-06-27 Ming Zhang , Jie Jiang

Black holes in anti de Sitter (AdS) spacetimes undergo phase transitions which typically lead to the existence of critical points, that can be classified using topological techniques. Availing the Bragg-Williams construction which provides…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Pavan Kumar Yerra , Chandrasekhar Bhamidipati , Sudipta Mukherji

We study the thermodynamic properties and critical behaviors of the topological charged black hole in AdS space under the consideration of the generalized uncertainty principle (GUP). It is found that only in the spherical horizon case…

High Energy Physics - Theory · Physics 2018-10-17 Meng-Sen Ma , Yan-Song Liu

A critical point is an important structure in the phase diagram of a thermodynamic system. In this work, we introduce topology to the study of the black hole thermodynamics for the first time by following Duan's topological current…

General Relativity and Quantum Cosmology · Physics 2022-05-11 Shao-Wen Wei , Yu-Xiao Liu

After reviewing the thermodynamics and critical phenomena associated with AdS black holes carrying multiple R-charges in various dimensions, we do a Bragg-Williams like analysis of the systems around its critical points. This leads us to…

High Energy Physics - Theory · Physics 2009-11-18 Sachin Jain , Sudipta Mukherji , Subir Mukhopadhyay

The classification of critical points of charged topological black holes (TBHs) in anti-de Sitter spacetime (AdS) under the Power Maxwell Invariant (PMI)-massive gravity is accomplished within the framework of black hole chemistry (BHC).…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Meng-Yao Zhang , Hao Chen , Hassan Hassanabadi , Zheng-Wen Long , Hui Yang

We present a JT gravity setup coupled with $U(1)$ and $SU(2)$ Yang-Mills fields in two dimensions that reveals the onset of a small black hole to large black hole phase transition at finite chemical potential(s). We identify these black…

High Energy Physics - Theory · Physics 2025-01-22 Hemant Rathi , Dibakar Roychowdhury

We study N =4 super Yang-Mills theories on a three sphere with two kinds of chemical potentials. One is associated with the R-symmetry and the other with the rotational symmetry of S^3 (SO(4) symmetry). These correspond to the charged…

High Energy Physics - Theory · Physics 2008-12-18 Keiju Murata , Tatsuma Nishioka , Norihiro Tanahashi , Hikaru Yumisaki

Black hole thermodynamics and topology have emerged as a strong foundation for a coordinate-independent understanding of phase transitions. Using both Duan's topological current theory and a novel complex residue method, we perform a…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Mohd Rehan , Md Sabir Ali , Sushant G. Ghosh

We study the perturbative behaviour of charged topological-AdS black holes. We calculate both analytically and numerically the quasi-normal modes of the electromagnetic and gravitational perturbations. Keeping the charge-to-mass ratio…

High Energy Physics - Theory · Physics 2009-12-15 George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

We investigate consistent charged black hole solutions to the Einstein-Maxwell-Dilaton (EMD) equations that are asymptotically AdS. The solutions are gravity duals to phases of a non-conformal plasma at finite temperature and density. For…

High Energy Physics - Theory · Physics 2020-12-07 Alfonso Ballon-Bayona , Henrique Boschi-Filho , Eduardo Folco Capossoli , Diego M. Rodrigues

By employing Duan's topological method, we classify critical points by their topological charge Q = +/-1 or 0. Previous work (Wei et al., Phys. Rev. D 105, 104003, 2022) investigated two typical anti-de Sitter (AdS) black holes: the…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Yue Chu , Chen-Hao Wu , Ya-Peng Hu

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…

High Energy Physics - Theory · Physics 2026-05-29 Si-Jiang Yang , Shan-Ping Wu , Shao-Wen Wei , Yu-Xiao Liu

We study the thermodynamics and the chemical potential for a five-dimensional charged AdS black hole by treating the cosmological constant as the number of colors $N$ in the boundary gauge theory and its conjugate quantity as the associated…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Shao-Wen Wei , Bin Liang , Yu-Xiao Liu
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