  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.
