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

Source: [Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes](<https://www.sota2.com/research/paper/6a2106e9c10484bac23f05c9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-06-05T05:00:12.194Z

Authors: Debabrata Sahu, Chandrasekhar Bhamidipati

Published: 2026-06-03T14:38:13.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2606.04949>)

[PDF](<https://arxiv.org/pdf/2606.04949.pdf>)