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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

Ming Zhang , Jie Jiang This is my paper · ORCID
classification hep-thgr-qc
keywords thermodynamicsphasetransitionsboundarybulkcanonicalensemblesterms
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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 4 Pith papers

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

  1. Topological perspective on bulk boundary thermodynamic equivalence

    hep-th 2025-12 conditional novelty 6.0 of 10

    A two-central-charge CFT dictionary reproduces the extended first law, critical point, and topological charges of the 5D charged Gauss-Bonnet AdS black hole.

  2. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

  3. Quantum-corrected black hole thermodynamics from the gravitational path integral

    hep-th 2025-06 conditional novelty 5.0 of 10

    Including off-shell geometries at one-loop order in the ensemble-averaged path integral yields logarithmic entropy corrections and a phase diagram with zero-order phase transitions for RN-AdS black holes.

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

    gr-qc 2026-07 reject novelty 4.0 of 10

    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.

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