Phase transitions of neutral planar hairy AdS black holes

Abstract

We investigate the phase diagram of a general class of 4-dimensional exact regular hairy planar black holes. For some particular values of the parameters in the moduli potential, these solutions can be embedded in ω-deformed N = 8 gauged supergravity. We construct the hairy soliton that is the ground state of the theory and show that there exist first order phase transitions.