Phase transitions for charged planar solitons in AdS

TL;DR

This paper investigates phase transitions between charged planar AdS black holes and solitons, revealing how electric potential, magnetic flux, and temperature influence these transitions within the grand-canonical ensemble.

Contribution

It introduces a new analysis of phase transitions between charged AdS black holes and solitons, including the effects of electric charge and magnetic flux.

Findings

Phase transitions depend on electric potential, magnetic flux, and temperature.

The charged soliton is obtained via double analytic continuation of the black hole.

Transitions occur within the grand-canonical ensemble.

Abstract

In this work we study the phase transitions between the planar charged AdS black hole and the planar charged soliton. The planar soliton is obtained as a double analytic continuation of the charged black hole metric, which also involves analytically continuing the electric charge. We show that there are phase transitions between both solutions depending on the electric potential, magnetic flux and temperature. The analysis is carried out in the Grand-Canonical ensemble.