A black hole solution in conformal supergravity

TL;DR

This paper introduces a new family of analytic black-hole solutions in conformal supergravity, highlighting their unique properties, thermodynamics, and potential implications for phase transitions in the theory.

Contribution

It presents a novel three-parameter family of black-hole solutions with curvature and torsional singularities in conformal supergravity, including their thermodynamic analysis.

Findings

Partition function is finite without boundary counterterms.

Existence of a non-maximally symmetric thermal ground state.

Insights into Hawking-Page phase transitions in this context.

Abstract

We present a three-parameter family of analytic black-hole solutions in the bosonic sector of a four-dimensional supersymmetric model with matter fields in the adjoint representation. The solutions are endowed with curvature and torsional singularities which are both surrounded by an event horizon. They are asymptotically Lorentz flat, representing the torsional generalization of the Riegert black hole in conformal gravity. We compute the partition function to first order in the saddle-point approximation which turns out to be finite without any reference to boundary counterterms. We find a non-maximmally symmetric thermalized ground state, whose existence is relevant when studying Hawking-Page phase transitions. Finally, we discuss future directions regarding its extended phase space.