Thermodynamics of static dyonic AdS black holes in the $\omega$-deformed Kaluza-Klein gauged supergravity theory

Abstract

We study thermodynamical properties of static dyonic AdS black holes in four-dimensional $\omega$-deformed Kaluza-Klein gauged supergravity theory, and find that the differential first law requires a modification via introducing a new pair of thermodynamical conjugate variables (X, Y). To ensure such a modification, we then apply the quasi-local ADT formalism developed in Ref. [20] to calculate the quasi-local conserved charge and identify that the new pair is precisely the one previously introduced to modify the differential form of first law.

13 pages, no figure, elsarticle.cls, updated version to match with the published paper

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• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• Topological classes of thermodynamics of the rotating charged AdS black holes in gauged supergravities
• $\mathcal{N}=2$ supersymmetric S-folds
• S-folds and holographic RG flows on the D3-brane