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

References in corpus (10)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Superfluid Black Holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Isolated critical point from Lovelock gravity
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Bose condensation and branes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Higher Order Corrections to Holographic Black Hole Chemistry
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy

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