Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence

Abstract

We study the thermodynamic properties of warped AdS${}_3$ black hole within the framework of thermodynamic information geometry. Our analysis focuses on finding the set of proper thermodynamic Riemannian metrics on the space of equilibrium states, together with the conditions for local and global thermodynamic stability. We use our findings to constrain the values of left and right central charges from the dual CFT theory and the parameters of the bulk gravitational theory.

Minor corrections and improvements

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• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• Non-perturbative correction to thermodynamics of conformally dressed 3D black hole
• Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• Black Holes and Thermogeometric Optimization
• Holographic Fisher Information Metric in Schrödinger Spacetime
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Developments in non-relativistic field theory and complexity