The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity
Abstract We consider the static planar black hole solutions in the STU model of the gauged N $$ \mathcal{N} $$ = 8 supergravity in four dimensions. We give a straightforward derivation of the equation of state of the purely electric and purely magnetic solutions with four charges. Then we give a sim...
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)201 |
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| author | Andrés Anabalón Stefano Maurelli Marcelo Oyarzo Mario Trigiante |
| author_facet | Andrés Anabalón Stefano Maurelli Marcelo Oyarzo Mario Trigiante |
| author_sort | Andrés Anabalón |
| collection | DOAJ |
| description | Abstract We consider the static planar black hole solutions in the STU model of the gauged N $$ \mathcal{N} $$ = 8 supergravity in four dimensions. We give a straightforward derivation of the equation of state of the purely electric and purely magnetic solutions with four charges. Then we give a simple proof that the determinant of the Hessian of the energy is always negative below some critical finite temperature for the purely electric solutions. We compute the spinodal line for the usual planar Reissner-Nordström solution in four dimensions. Inspired by the magnetic superalgebra we show that the supersymmetric solutions are metastable if the energy is restricted to satisfy the topological twist condition ab initio and it is shifted to be zero on the BPS solutions. |
| format | Article |
| id | doaj-art-e93e4c3bf79f4590889da4061b285e80 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e93e4c3bf79f4590889da4061b285e802025-08-20T02:11:55ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025312910.1007/JHEP03(2025)201The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravityAndrés Anabalón0Stefano Maurelli1Marcelo Oyarzo2Mario Trigiante3Departamento de Física, Universidad de ConcepciónPolitecnico di Torino, Dipartimento di Scienza Applicata e TecnologiaDepartamento de Física, Universidad de ConcepciónPolitecnico di Torino, Dipartimento di Scienza Applicata e TecnologiaAbstract We consider the static planar black hole solutions in the STU model of the gauged N $$ \mathcal{N} $$ = 8 supergravity in four dimensions. We give a straightforward derivation of the equation of state of the purely electric and purely magnetic solutions with four charges. Then we give a simple proof that the determinant of the Hessian of the energy is always negative below some critical finite temperature for the purely electric solutions. We compute the spinodal line for the usual planar Reissner-Nordström solution in four dimensions. Inspired by the magnetic superalgebra we show that the supersymmetric solutions are metastable if the energy is restricted to satisfy the topological twist condition ab initio and it is shifted to be zero on the BPS solutions.https://doi.org/10.1007/JHEP03(2025)201Black Holes in String TheoryClassical Theories of GravityM-TheorySupergravity Models |
| spellingShingle | Andrés Anabalón Stefano Maurelli Marcelo Oyarzo Mario Trigiante The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity Journal of High Energy Physics Black Holes in String Theory Classical Theories of Gravity M-Theory Supergravity Models |
| title | The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity |
| title_full | The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity |
| title_fullStr | The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity |
| title_full_unstemmed | The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity |
| title_short | The instability of low-temperature black holes in gauged N $$ \mathcal{N} $$ = 8 supergravity |
| title_sort | instability of low temperature black holes in gauged n mathcal n 8 supergravity |
| topic | Black Holes in String Theory Classical Theories of Gravity M-Theory Supergravity Models |
| url | https://doi.org/10.1007/JHEP03(2025)201 |
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