Phase transitions of magnetic AdS4 black holes with scalar hair

TL;DR

This paper investigates the thermodynamics and phase transitions of magnetic AdS4 black holes with scalar hair, revealing a first order phase transition analogous to a liquid-gas transition in the dual field theory.

Contribution

It provides a detailed analysis of the thermodynamic behavior and phase structure of hairy black holes in AdS4 within N=2 gauged supergravity, including stability and phase transition characteristics.

Findings

Existence of a first order phase transition between small and large hairy black holes.

Stable supersymmetric black holes at zero temperature.

Liquid-gas type phase transition in the dual field theory.

Abstract

We determine the thermodynamic properties of a class of spherically symmetric and static black holes in AdS4 with magnetic charges and scalar hair. These black holes are solutions in 4d N=2 gauged supergravity that can arise from eleven-dimensional supergravity compactified on S^7. At zero temperature, they preserve supersymmetry and hence are stable. At non-zero temperatures, we explore in detail the canonical ensemble and stability of solutions and find a first order phase transition between small and large hairy black holes. The transition emerges as a liquid-gas phase transition in the dual three-dimensional field theory on R x S^2 with magnetic flux through S^2.