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Topology of Hawking-Page transition in Born-Infeld AdS black holes (2312.10784v1)

Published 17 Dec 2023 in gr-qc and hep-th

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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