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Holographic thermodynamics of rotating black holes

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arxiv 2305.00267 v3 pith:T7YEOWIJ submitted 2023-04-29 hep-th gr-qc

classification hep-thgr-qc
keywords thermodynamicsangularblackphasetransitionsvolumecanonicalcentral
verification ladder T0 review T1 audit T2 compute T3 formal
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We provide mass/energy formulas for the extended thermodynamics, mixed thermodynamics, and holographic conformal field theory (CFT) thermodynamics for the charged and rotating Kerr-Newman Anti-de Sitter black holes. Then for the CFT thermal states dual to the black hole, we find the first-order phase transitions and criticality phenomena in the canonical ensemble with fixed angular momentum, volume, and central charge. We observe that the CFT states cannot be analogous to the Van der Waals fluids, despite the critical exponents falling into the universality class predicted by the mean field theory. Additionally, we examine the (de)confinement phase transitions within the grand canonical ensemble with fixed angular velocity, volume, and central charge of the CFT. Our findings suggest that the near zero temperature (de)confinement phase transitions can occur with the angular velocity of the CFT that solely depends on the CFT volume.

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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. 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.

  4. Thermodynamics of deformed AdS-Schwarzschild black holes in the presence of Thermal fluctuations

    hep-th 2025-01 conditional novelty 4.0 of 10

    For a deformed AdS-Schwarzschild black hole, increasing the deformation parameter raises the Hawking-Page temperature, while thermal corrections mainly alter small-horizon thermodynamics and leave second-order phase t...

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