Generalized Freudenthal duality for rotating extremal black holes
Abstract Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic space of electric-magnetic BH charges. In this pape...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)170 |
| _version_ | 1827205572865294336 |
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| author | Arghya Chattopadhyay Taniya Mandal Alessio Marrani |
| author_facet | Arghya Chattopadhyay Taniya Mandal Alessio Marrani |
| author_sort | Arghya Chattopadhyay |
| collection | DOAJ |
| description | Abstract Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic space of electric-magnetic BH charges. In this paper, we generalize FD to the class of rotating (stationary) extremal BHs, both in the under- and over-rotating regime, defining a (generalized) rotating FD (generally, non-anti-involutive) map (RFD), which also acts on the BH angular momentum. We prove that the RFD map is unique, and we compute the explicit expression of its non-linear action on the angular momentum itself. Interestingly, in the non-rotating limit, RFD bifurcates into the usual, non-rotating FD branch and into a spurious branch, named “golden” branch, mapping a non-rotating (static) extremal BH to an under-rotating (stationary) extremal BH, in which the ratio between the angular momentum and the non-rotating entropy is the square root of the golden ratio. Finally, we investigate the possibility of inducing transitions between the under- and over- rotating regimes by means of RFD, obtaining a no-go result. |
| first_indexed | 2024-04-24T12:43:53Z |
| format | Article |
| id | doaj.art-a7ad869301284bc0b7e6fc6c2abf3e60 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T12:10:25Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a7ad869301284bc0b7e6fc6c2abf3e602024-06-30T11:08:41ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024312510.1007/JHEP03(2024)170Generalized Freudenthal duality for rotating extremal black holesArghya Chattopadhyay0Taniya Mandal1Alessio Marrani2Service de Physique de l’Univers, Champs et Gravitation, Université de MonsDepartment of Physics, Indian Institute of Technology KanpurInstituto de Física Teorica, Dep.to de Física, Universidad de MurciaAbstract Freudenthal duality (FD) is a non-linear symmetry of the Bekenstein-Hawking entropy of extremal dyonic black holes (BHs) in Maxwell-Einstein-scalar theories in four space-time dimensions realized as an anti-involutive map in the symplectic space of electric-magnetic BH charges. In this paper, we generalize FD to the class of rotating (stationary) extremal BHs, both in the under- and over-rotating regime, defining a (generalized) rotating FD (generally, non-anti-involutive) map (RFD), which also acts on the BH angular momentum. We prove that the RFD map is unique, and we compute the explicit expression of its non-linear action on the angular momentum itself. Interestingly, in the non-rotating limit, RFD bifurcates into the usual, non-rotating FD branch and into a spurious branch, named “golden” branch, mapping a non-rotating (static) extremal BH to an under-rotating (stationary) extremal BH, in which the ratio between the angular momentum and the non-rotating entropy is the square root of the golden ratio. Finally, we investigate the possibility of inducing transitions between the under- and over- rotating regimes by means of RFD, obtaining a no-go result.https://doi.org/10.1007/JHEP03(2024)170Black HolesBlack Holes in String Theory |
| spellingShingle | Arghya Chattopadhyay Taniya Mandal Alessio Marrani Generalized Freudenthal duality for rotating extremal black holes Journal of High Energy Physics Black Holes Black Holes in String Theory |
| title | Generalized Freudenthal duality for rotating extremal black holes |
| title_full | Generalized Freudenthal duality for rotating extremal black holes |
| title_fullStr | Generalized Freudenthal duality for rotating extremal black holes |
| title_full_unstemmed | Generalized Freudenthal duality for rotating extremal black holes |
| title_short | Generalized Freudenthal duality for rotating extremal black holes |
| title_sort | generalized freudenthal duality for rotating extremal black holes |
| topic | Black Holes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP03(2024)170 |
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