| Summary: | We study thermodynamical properties of static dyonic AdS black holes in four-dimensional ω-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 Kim et al. (2013) [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 the first law. Keywords: Black hole thermodynamics, Dyonic AdS black hole, Conserved charge, Kaluza–Klein supergravity
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