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We study the thermodynamic properties of warped AdS$_3$ black hole within theframework of thermodynamic information geometry. Our analysis focuses onfinding the set of proper thermodynamic Riemannian metrics on the space ofequilibrium states, together with the conditions for local and globalthermodynamic stability. We use our findings to constrain the values of leftand right central charges from the dual CFT theory and the parameters of thebulk gravitational theory.

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