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Bulk-boundary thermodynamic equivalence: a topology viewpoint

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arxiv 2303.17515 v4 pith:WMGM3ZKL submitted 2023-03-30 hep-th gr-qc

Bulk-boundary thermodynamic equivalence: a topology viewpoint

Ming Zhang , Jie Jiang This is my paper
classification hep-th gr-qc
keywords thermodynamicsphasetransitionsboundarybulkcanonicalensemblesterms
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 thermodynamics, mixed thermodynamics, and boundary conformal field theory thermodynamics. We employ the residue method to study the topological properties of the phase transitions. Our analysis reveals that the bulk and boundary thermodynamics are topologically equivalent for both criticalities and first-order phase transitions in the canonical ensembles, as well as for the Hawking-Page(-like) phase transitions in the grand canonical ensembles. Additionally, those three kinds of phase transitions are shown to be distinguished by their unique topological charges. Our results exemplify the gravity-gauge duality in terms of topology.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds

    gr-qc 2026-07 reject novelty 4.0

    For noncommutative RN-AdS black holes, the paper claims bulk and boundary thermodynamic topological charges equal to zero and derives perturbative second-law corrections to the remnant-mass bound.

  2. Topology of black hole thermodynamics: A brief review

    gr-qc 2026-04 unverdicted novelty 2.0

    Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.