Abstract:
In this talk we propose a generalization of black hole/Bose-gas duality for anisotropic systems, considering a wide class of Lifshitz black hole solutions in the Einstein-Maxwell-Dilaton model with electric and magnetic fields. Lifshitz black holes exhibit anisotropic scaling between space and time, making them relevant for modeling condensed matter systems with non-relativistic scaling symmetries.
Additionally, we discuss some properties of charges in the AdS/CFT correspondence using the Smarr integral relation. The Smarr formula connects the mass of a black hole to its other extensive thermodynamic quantities, and we analyze how this relation provides insights into the structure of conserved charges in the holographic duality between Anti-de Sitter spacetimes and conformal field theories.
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