${\cal P}-v$ Criticality in Gauged Supergravities

TL;DR

This paper explores the extended thermodynamics of charged dilatonic AdS black holes in gauged supergravity theories across various dimensions, revealing new phase transition behaviors not seen in four dimensions.

Contribution

It uncovers novel phase transition phenomena in higher-dimensional dilatonic AdS black holes, including new transition branches and behaviors absent in four-dimensional cases.

Findings

Standard Van der Waals transition only in 5D with two equal charges

New phase transition branch in negative pressure region in 6D and 7D

Transition behaviors in higher dimensions with single charge cases

Abstract

AdS black holes show richer transition behaviors in extended phase space by assuming the cosmological constant and its conjugate quantity to behave like thermodynamic pressure and thermodynamic volume. We study the extended thermodynamics of charged dilatonic AdS black holes in a class of Einstein-Maxwell-dilaton theories that can be embedded in gauged supergravities in various dimensions. We find that the transition behaviors of higher dimensional dilatonic AdS black holes are different from the four dimensional counterparts, and new transition behaviors emerges in higher dimensions. First, there exists standard Van der Waals transition only in a five dimensional dilatonic AdS black hole with two equal charges. Second, there emerge a new phase transition branch in negative pressure region in six and seven dimensional dilatonic black holes with two equal charges. Third, there emerge transition behaviors in higher dimensional black hole with single charge cases, which are absent in four dimensions.