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Holographic CFT Phase Transitions and Criticality for Rotating AdS Black Holes
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abstract
Employing the novel exact dictionary between the laws of extended black hole thermodynamics and the laws of the dual CFT, we study the extended thermodynamics for CFT states that are dual to neutral singly-spinning asymptotically AdS black holes in $d$ bulk spacetime dimensions. On the field theory side we include two independent pairs of thermodynamic conjugate variables: the central charge-chemical potential term and the pressure-volume term. In this setting we uncover various phase transitions and critical behaviour in the CFT, focusing on three different thermodynamic ensembles. Namely, for fixed angular momentum and central charge, we show there is a Van der Waals-like criticality for $d=4,5$ and reentrant phase transitions for $d\ge 6$. At fixed angular velocity and central charge, there is a first-order (de)confinement phase transition in all dimensions $d \ge 3$. Finally, at fixed angular momentum and chemical potential we find a plethora of zero-order phase transitions and unstable phases in both $d=4$ and $d=6$.
Forward citations
Cited by 7 Pith papers
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Topological perspective on bulk boundary thermodynamic equivalence
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.
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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.
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A charged, rotating quantum BTZ black hole is built from the AdS C-metric, and charge or spin is shown to remove the neutral-static case's re-entrant phase transitions, whose critical exponents are computed as (0, 1, 2, 3).
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Quantum-corrected black hole thermodynamics from the gravitational path integral
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.
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Noncommutative black holes: Topological bulk-boundary correspondence and Binary Merger Bounds
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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Criticality of charged AdS black holes with string clouds in boundary conformal field theory
Charged AdS black holes with string clouds show the same mean-field van der Waals criticality as ordinary charged AdS black holes, with critical quantities shifted by the string cloud parameter a.
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