Charged AdS Black Holes and Catastrophic Holography

TL;DR

This paper analyzes charged AdS black holes in various dimensions, revealing complex thermodynamic phase structures with critical phenomena analogous to liquid-gas systems, and explores their holographic dual field theories.

Contribution

It demonstrates the emergence of rich thermodynamic phases and critical phenomena in charged AdS black holes from Einstein-Maxwell supergravity truncations, linking them to holographic duals.

Findings

Black holes exhibit van der Waals-like phase transitions.

Thermodynamics aligns with holographic field theory interpretations.

Rich phase structures include cusp and swallowtail shapes from catastrophe theory.

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.