Charged AdS black holes and catastrophic holography

TLDR

The phase structure of these black holes is governed by universal cusp and swallowtail shapes from catastrophe theory. The study computes the properties of a class of charged AdS black holes across various dimensions. The authors analyze these black holes as solutions of consistent Einstein–Maxwell truncations of gauged supergravities, incorporating rotation in the transverse space. The thermodynamics reveals rich phase structures analogous to the van der Waals–Maxwell liquid–gas system and aligns with holographic field theory interpretations, with dual theories sometimes residing on coincident rotating brane world volumes.

Abstract

We compute the properties of a class of charged black holes in anti--de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged supergravities, which are shown to arise from the inclusion of rotation in the transverse space. We uncover rich thermodynamic phase structures for these systems, 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.