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Thermodynamics of AdS Black Holes: Central Charge Criticality

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arxiv 2105.02223 v1 pith:FN654IF4 submitted 2021-05-05 hep-th gr-qc

Wan Cong , David Kubiznak , Robert B. Mann This is my paper · ORCID
classification hep-thgr-qc
keywords blackcentralchargecriticalityholesthermodynamicsbulkconstant
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abstract

We reconsider the thermodynamics of AdS black holes in the context of gauge-gravity duality. In this new setting where both the cosmological constant $\Lambda$ and the gravitational Newton constant $G$ are varied in the bulk, we rewrite the first law in a new form containing both $\Lambda$ (associated with thermodynamic pressure) and the central charge $C$ of the dual CFT theory and their conjugate variables. We obtain a novel thermodynamic volume, in turn leading to a new understanding of the Van der Waals behavior of the charged AdS black holes, in which phase changes are governed by the degrees of freedom in the CFT. Compared to the "old" $P-V$ criticality, this new criticality is "universal" (independent of the bulk pressure) and directly relates to the thermodynamics of the dual field theory and its central charge.

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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. 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.

  2. Critical phenomenon of quantum BTZ black holes

    hep-th 2025-05 conditional novelty 6.0 of 10

    Quantum BTZ black holes have a critical point at backreaction strength ν=1 with non-mean-field exponents (α=0, β=1, γ=2, δ=3) that violate the 2-α=β(1+δ) scaling law.

  3. Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with R\'enyi Entropy: An RPST-like formalism

    hep-th 2025-06 conditional novelty 5.0 of 10

    A Rényi-entropy version of the flat 4D-EGB black hole is shown to mimic the phase structure, thermodynamic geometry, and topological class of the AdS 4D-EGB black hole in RPST thermodynamics.

  4. Analytical approach to criticality of AdS black holes

    gr-qc 2025-06 conditional novelty 5.0 of 10

    A self-reciprocal relation between coexisting black hole phases reduces two coexistence conditions to a single algebraic equation, giving exact coexistence lines for several AdS black holes and the Van der Waals fluid.

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