Topology of critical points and Hawking-Page transition

Yerra, Pavan Kumar; Bhamidipati, Chandrasekhar; Mukherji, Sudipta

doi:10.1103/physrevd.106.064059

Cited by 73 publications

(27 citation statements)

References 37 publications

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“…Based upon the local property of the zero point, one can easily find that the topological number W = 0 for the Schwarzschild-AdS black hole, which is consistent with the result given in Ref. [12].…”

Section: Schwarzschild-ads 4 Black Holesupporting

confidence: 90%

“…Furthermore, combining our results with those in Refs. [6,12,17], we present Table II. From the results in Table II, we can propose a conjecture that, given an AdS black hole, the difference between its topological number and that of its corresponding non-AdS black hole is always unity.…”

Section: Discussionmentioning

confidence: 99%

“…W Generation point Annihilation point Schwarzschild BH [6] -1 0 0 Schwarzschild-AdS BH [12] 0 0 1 RN BH [6] 0 1 0 RN-AdS BH [6] 1 1 or 0 1 or 0 Kerr BH [17] 0 1 0 Kerr-AdS BH 1 1 or 0 1 or 0 Kerr-Newman BH [17] 0 1 0 Kerr-Newman-AdS BH 1 0 0 d = 5 singly-rotating Kerr BH [17]…”

Section: Bh Solutionmentioning

confidence: 99%

“…In recent years, topology as an important mathematical tool has been applied to various research fields in physics. As one of the most fundamental and fascinating objects in nature, the black hole has been the subject of extensive research, among which the study of black hole topology has shed new light on the nature of gravity through light rings [1][2][3][4], timelike circular orbits [5], and thermodynamic properties [6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…The topological approach proposed in Ref. [6] quickly gained popularity due to its straightforwardness and adaptability, and it was subsequently effectively used to explore the topological numbers of several wellknown black hole solutions [12][13][14][15][16], i.e., the Schwarzschild-AdS black hole solution [12], the static black hole solutions in Lovelock gravity [13], the static Gauss-Bonnet-AdS black hole solutions [14], the static black hole solution in nonlinear electrodynamics [15], and the static Born-Infeld AdS black hole solution [16]. Very recently, we extended the topological approach to rotating black hole cases and investigate the topological numbers for the cases of rotating Kerr and Kerr-Newman black hole solutions [17].…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Topological classes of thermodynamics of rotating AdS black holes

Wu¹

2023

Preprint

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In this paper, we investigate the topological numbers for the singly-rotating Kerr-AdS black holes in all dimensions and the four-dimensional Kerr-Newman-AdS black hole. We show that for uncharged AdS black holes, the rotation parameter has a significant impact on the topological number, and for rotating AdS black holes, the dimension of spacetimes has an important effect on the topological number. In addition, it indicates that the electric charge parameter has no impact on the topological number of rotating AdS black holes because of the four-dimensional Kerr-AdS and Kerr-Newman-AdS black holes have the same topological numbers. Furthermore, we propose a conjecture that, given an AdS black hole, the difference between its topological number and that of its corresponding non-AdS black hole is always unity.

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Section: Schwarzschild-ads 4 Black Holesupporting

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Section: Bh Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Topological classes of thermodynamics of rotating AdS black holes

Wu¹

2023

Preprint

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Revisiting thermodynamic topologies of black holes

Fang

Jiang

Zhang

2023

J. High Energ. Phys.

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In the generalized off-shell free energy landscape, black holes can be treated as thermodynamic topological defects. The local topological properties of the spacetime can be reflected by the winding numbers at the defects, while the global topological nature can be classified by the topological number which is the sum of all local winding numbers. We propose that the winding numbers can be calculated via the residues of isolated one-order pole points of characterized functions constructed from the off-shell free energy. Using the residue method, we show that the topologies of black holes can be divided into three classes with the topological numbers being -1, 0, and 1, respectively, being consistent with the results obtained in [Phys. Rev. Lett. 129, 191101 (2022)] by using the topological current method. Moreover, we point out that standard defect points, generation and annihilation points, and critical points can be distinguished by coefficients of the Laurent series of the off-shell characterized function at those singular points.

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Topology of critical points in boundary matrix duals

Yerra,

Bhamidipati,

Mukherji

2024

J. High Energ. Phys.

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Computation of topological charges of the Schwarzschild and charged black holes in AdS in canonical and grand canonical ensembles allows for a classification of the phase transition points via the Bragg-Williams off-shell free energy. We attempt a topological classification of the critical points and the equilibrium phases of the dual gauge theory via a phenomenological matrix model, which captures the features of the $$\mathcal{N}$$ = 4, SU(N) Super Yang-Mills theory on S3 at finite temperature at large N. With minimal modification of parameters, critical points of the matrix model at finite chemical potential can be classified as well. The topological charges of locally stable and unstable dynamical phases of the system turn out to be opposite to each other, totalling to zero, and this matches the analysis in the bulk.

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Topology of critical points and Hawking-Page transition

Cited by 73 publications

References 37 publications

Topological classes of thermodynamics of rotating AdS black holes

Topological classes of thermodynamics of rotating AdS black holes

Revisiting thermodynamic topologies of black holes

Topology of critical points in boundary matrix duals

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