Instability of supersymmetric black holes via quantum phase transitions

Abstract

In this paper we prove that the four-dimensional hyperbolic supersymmetric black holes can be unstable in the canonical ensemble. To this end, we work with an infinite class of $\mathcal{N}=2$ supergravity theories interpolating between all the single dilaton truncations of the $\mathrm{SO}(8)$ gauged $\mathcal{N}=8$ supergravity. Within these models, we study electrically charged solutions of two different kinds: supersymmetric hairy and extremal non-supersymmetric Reissner-Nordström black holes. We consider these solutions within the same canonical ensemble and show that, for suitable choices of the parameters defining the $\mathcal{N}=2$ model, the supersymmetric solution features a higher free energy than the non-supersymmetric one. In the absence of additional selection rules, this would imply an instability of the supersymmetric configuration, hinting towards a possible supersymmetry breaking mechanism.

14 pages

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Building an AdS/CFT superconductor
• Fractional M2-branes
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Supersymmetric solitons and a degeneracy of solutions in AdS/CFT
• BPS black holes in N=2 D=4 gauged supergravities
• Mass of asymptotically anti-de Sitter hairy spacetimes
• New non-extremal and BPS hairy black holes in gauged $\mathcal{N}=2$ and $\mathcal{N}=8$ supergravity
• Exact holographic RG flows in extended SUGRA
• Rotating black holes in the FI-gauged $N=2$, $D=4$ ${\overline{\mathbb{C}\text{P}}}^n$ model