Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets
Abstract Using a mix of analytical and numerical methods, we construct new rotating, charged “hairy” black hole solutions of D = 5, N $$ \mathcal{N} $$ = 8 gauged supergravity that are dual, via the AdS/CFT correspondence, to thermal states in D = 4, N $$ \mathcal{N} $$ = 4 SYM at finite chemical an...
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2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)051 |
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| author | Óscar J. C. Dias Prahar Mitra Jorge E. Santos |
| author_facet | Óscar J. C. Dias Prahar Mitra Jorge E. Santos |
| author_sort | Óscar J. C. Dias |
| collection | DOAJ |
| description | Abstract Using a mix of analytical and numerical methods, we construct new rotating, charged “hairy” black hole solutions of D = 5, N $$ \mathcal{N} $$ = 8 gauged supergravity that are dual, via the AdS/CFT correspondence, to thermal states in D = 4, N $$ \mathcal{N} $$ = 4 SYM at finite chemical and angular potential, thereby complementing and extending the results of [1–3]. These solutions uplift to asymptotically AdS5 × S 5 solutions of Type IIB supergravity with equal angular momenta along AdS5 (J = J 1 = J 2) and S 5 (Q = Q 1 = Q 2 = Q 3). As we lower the mass E at fixed Q and J, the known Cvetič-Lü-Pope (CLP) black holes are unstable to scalar condensation and the hairy black holes constructed here emerge as novel solutions associated to the instability. In the region of phase space where the CLP and hairy black holes coexist, the hairy black holes dominate the microcanonical ensemble and, therefore, describe a new thermodynamic phase of SYM. The hairy black holes extend beyond the CLP extremality surface all the way to the BPS surface, defined by E = 3Q + 2J/L. Through a combination of analytical and numerical techniques, we argue that the BPS limit of the hairy black holes is a singular, horizonless solution, and not a new two-parameter family of BPS black holes that extend the known one-parameter Gutowski-Reall (GR) black hole solution, in contradiction with the conjectures of [1, 2]. To further support our conclusions, we perform a near-horizon analysis of the BPS equations and argue that they do not admit any regular solutions with an horizon. |
| format | Article |
| id | doaj-art-dba1e9efa375426db4e3b61d8ab405a1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-dba1e9efa375426db4e3b61d8ab405a12025-08-20T03:45:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025616410.1007/JHEP06(2025)051Charged rotating hairy black holes in AdS5 × S 5: unveiling their secretsÓscar J. C. Dias0Prahar Mitra1Jorge E. Santos2STAG Research Centre and Mathematical Sciences, University of SouthamptonInstitute for Theoretical Physics, University of AmsterdamDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract Using a mix of analytical and numerical methods, we construct new rotating, charged “hairy” black hole solutions of D = 5, N $$ \mathcal{N} $$ = 8 gauged supergravity that are dual, via the AdS/CFT correspondence, to thermal states in D = 4, N $$ \mathcal{N} $$ = 4 SYM at finite chemical and angular potential, thereby complementing and extending the results of [1–3]. These solutions uplift to asymptotically AdS5 × S 5 solutions of Type IIB supergravity with equal angular momenta along AdS5 (J = J 1 = J 2) and S 5 (Q = Q 1 = Q 2 = Q 3). As we lower the mass E at fixed Q and J, the known Cvetič-Lü-Pope (CLP) black holes are unstable to scalar condensation and the hairy black holes constructed here emerge as novel solutions associated to the instability. In the region of phase space where the CLP and hairy black holes coexist, the hairy black holes dominate the microcanonical ensemble and, therefore, describe a new thermodynamic phase of SYM. The hairy black holes extend beyond the CLP extremality surface all the way to the BPS surface, defined by E = 3Q + 2J/L. Through a combination of analytical and numerical techniques, we argue that the BPS limit of the hairy black holes is a singular, horizonless solution, and not a new two-parameter family of BPS black holes that extend the known one-parameter Gutowski-Reall (GR) black hole solution, in contradiction with the conjectures of [1, 2]. To further support our conclusions, we perform a near-horizon analysis of the BPS equations and argue that they do not admit any regular solutions with an horizon.https://doi.org/10.1007/JHEP06(2025)051AdS-CFT CorrespondenceBlack HolesBlack Holes in String TheorySupergravity Models |
| spellingShingle | Óscar J. C. Dias Prahar Mitra Jorge E. Santos Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory Supergravity Models |
| title | Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets |
| title_full | Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets |
| title_fullStr | Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets |
| title_full_unstemmed | Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets |
| title_short | Charged rotating hairy black holes in AdS5 × S 5: unveiling their secrets |
| title_sort | charged rotating hairy black holes in ads5 s 5 unveiling their secrets |
| topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory Supergravity Models |
| url | https://doi.org/10.1007/JHEP06(2025)051 |
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