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 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.
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Anabalón, A., Astefanesei, D., Gallerati, A. et al. Instability of supersymmetric black holes via quantum phase transitions. J. High Energ. Phys. 2021, 116 (2021). https://doi.org/10.1007/JHEP11(2021)116
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DOI: https://doi.org/10.1007/JHEP11(2021)116