Heating up branes in gauged supergravity

TL;DR

This paper investigates the solution space of non-extremal black objects in 4D and 5D gauged supergravity, introducing new solution techniques and extending known solutions like the Nernst brane.

Contribution

It provides first order rewritings for non-extremal solutions and introduces a novel method to deform extremal black solutions into non-extremal ones.

Findings

Derived first order formulations for non-extremal solutions.

Constructed the non-extremal Nernst brane in AdS_5.

Developed a symmetry-based technique for deforming extremal to non-extremal solutions.

Abstract

In this note, we explore the solution space of non-extremal black objects in $4D$ and $5D$ ${\cal N}=2$ gauged supergravity in the presence of fluxes. We present first order rewritings of the $4D$ action for a classes of non-extremal dyonic and electric solutions with electric flux backgrounds. Additionally, we obtain the non-extremal version of the Nernst brane in $AdS_5$ using a simple deformation. Finally, we develop a new technique to deform extremal black solutions in $4D$ to non-extremal solutions by an analysis of the symmetries of the equations of motion.