The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap
Abstract Supersymmetric rotating 1/16-BPS black holes in AdS 4 × S 7 are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics...
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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)177 |
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| author | Matthew Heydeman Chiara Toldo |
| author_facet | Matthew Heydeman Chiara Toldo |
| author_sort | Matthew Heydeman |
| collection | DOAJ |
| description | Abstract Supersymmetric rotating 1/16-BPS black holes in AdS 4 × S 7 are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics, but a naive Gibbons-Hawking calculation of the actual degeneracies in the low temperature limit is invalid due to large quantum fluctuations of the near horizon AdS2 metric. We argue that in a particular mixed grand/canonical ensemble, these fluctuations of the near-BPS Kerr-Newman black holes are described by a version of the N $$ \mathcal{N} $$ = 2 super-Schwarzian theory with SU(1,1|1) symmetry. Using this description as well as properties of ABJM, we recover the large N superconformal index and find a characteristic “mass gap” of order N −3/2 between the 1/16-BPS states and the lightest near BPS state. We further make a prediction for the operator dimension spectrum above the gap in the large N, low T limit. Our results are consistent with the Bekenstein-Hawking formula at large energies, random matrix theory at low energies, and the microscopic index. |
| format | Article |
| id | doaj-art-961230cc0fc544e488fb3e678c0781c1 |
| 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-961230cc0fc544e488fb3e678c0781c12025-08-20T03:42:29ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612910.1007/JHEP06(2025)177The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gapMatthew Heydeman0Chiara Toldo1Department of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract Supersymmetric rotating 1/16-BPS black holes in AdS 4 × S 7 are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics, but a naive Gibbons-Hawking calculation of the actual degeneracies in the low temperature limit is invalid due to large quantum fluctuations of the near horizon AdS2 metric. We argue that in a particular mixed grand/canonical ensemble, these fluctuations of the near-BPS Kerr-Newman black holes are described by a version of the N $$ \mathcal{N} $$ = 2 super-Schwarzian theory with SU(1,1|1) symmetry. Using this description as well as properties of ABJM, we recover the large N superconformal index and find a characteristic “mass gap” of order N −3/2 between the 1/16-BPS states and the lightest near BPS state. We further make a prediction for the operator dimension spectrum above the gap in the large N, low T limit. Our results are consistent with the Bekenstein-Hawking formula at large energies, random matrix theory at low energies, and the microscopic index.https://doi.org/10.1007/JHEP06(2025)1772D GravityAdS-CFT CorrespondenceBlack HolesBlack Holes in String Theory |
| spellingShingle | Matthew Heydeman Chiara Toldo The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap Journal of High Energy Physics 2D Gravity AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| title | The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap |
| title_full | The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap |
| title_fullStr | The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap |
| title_full_unstemmed | The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap |
| title_short | The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap |
| title_sort | spectrum of near bps kerr newman black holes and the abjm mass gap |
| topic | 2D Gravity AdS-CFT Correspondence Black Holes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP06(2025)177 |
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