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Abstract:
I show how to compute the properties of a class of charged black holes in
anti-de Sitter space-time, in diverse dimensions. These black holes are shown
to be solutions of consistent Einstein-Maxwell truncations of gauged
supergravities, which are shown to arise from the inclusion of rotation in the
transverse space. Rich thermodynamic phase structures for these systems are
uncovered, which display classic critical phenomena, including structures
isomorphic to the van der Waals-Maxwell liquid-gas system. In that case, the
phases are controlled by the universal `cusp' and `swallowtail' shapes
familiar from catastrophe theory. All of the thermodynamics is consistent with
field theory interpretations via holography, where the dual field theories
can sometimes be found on the world volumes of coincident rotating branes.