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      Topology of Hawking-Page transition in Born-Infeld AdS black holes

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          Abstract

          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 an off-shell free energy formalism, we compute the topological charge of the Hawking-Page (HP) transition for Einstein-Born-Infeld black holes in anti de Sitter spacetime and match the result with the confinement-deconfinement transition in the dual gauge theory, which turn out to be in perfect agreement.

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          Author and article information

          Journal
          17 December 2023
          Article
          2312.10784
          ae6bf95f-048f-4449-8030-69835222b5a3

          http://creativecommons.org/licenses/by/4.0/

          History
          Custom metadata
          7 pages, 4 figures, submitted to Proceedings of QTS-12, Prague
          gr-qc hep-th

          General relativity & Quantum cosmology,High energy & Particle physics
          General relativity & Quantum cosmology, High energy & Particle physics

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