Thermodynamics of AdS Black Holes: Central Charge Criticality

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.

6 pages, 3 figures

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• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
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• Rate of the phase transition for a charged anti-de Sitter black hole
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• String Theory Corrections to Holographic Black Hole Chemistry
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• Breaking of universal nature of central charge criticality in $AdS$ black holes in Gauss-Bonnet Gravity
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• Thermodynamic geometry of pure Lovelock black holes
• Restricted Phase Space Thermodynamics of NED-AdS Black Holes
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• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
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• Thermodynamics of Flat 4D Einstein-Gauss-Bonnet Black Hole with Rényi Entropy: An RPST-like formalism
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• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole
• Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes
• Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity