Thermodynamic information geometry and complexity growth of a warped AdS black hole and the warped ${\mathrm{AdS}}_3/{\mathrm{CFT}}_2$ correspondence

We study the thermodynamic properties of a warped ${\mathrm{AdS}}_3$ 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 conformal field theory and the parameters of the bulk gravitational theory.