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arXiv · 2606.04949

Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes

Debabrata Sahu·Chandrasekhar Bhamidipati
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Abstract

We study the thermodynamics and phase structure of holographic conformal field theories dual to spherically symmetric charged AdS black holes using an off-shell free energy. We consider three ensembles of the dual CFT with fixed: $(\tilde Q,{\cal V},C)$, $(\tilde \Phi,{\cal V},C)$, and $(\tilde Q,{\cal V},\mu)$ and present their corresponding phase diagrams. For the fixed $(\tilde Q,{\cal V},C)$ and $(\tilde \Phi,{\cal V},C)$ ensembles, we study the transitions between competing states using a stochastic description on the various phases given by off-shell free energy. This is described by an ensemble dependent Fokker-Planck equation, allowing us to compute the first-passage-time distribution, including the mean first passage time and its fluctuations over a range of temperatures. We also examine how the phase structure and the associated kinetics depend on the electric charge $\tilde Q$ and the central charge $C$.

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Debabrata Sahu, Chandrasekhar Bhamidipati. 2026-06-03. Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes. https://arxiv.org/abs/2606.04949

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