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 N $$ \mathcal{N} $$ = 2 supergravity theories interpolating between all the single dilaton truncations of the SO(8...
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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SpringerOpen
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/33e543651d504aa2b7f7a3c07d306681 |
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| Sumario: | 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 N $$ \mathcal{N} $$ = 2 supergravity theories interpolating between all the single dilaton truncations of the SO(8) gauged N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 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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