Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization
Abstract We compute scalar static response coefficients (Love numbers) of non-dilatonic black p-brane solutions in higher dimensional supergravity. This calculation reveals a fine-tuning behavior similar to that of higher dimensional black holes, which we explain by “hidden” near-zone Love symmetrie...
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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)180 |
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| author | Panagiotis Charalambous Sergei Dubovsky Mikhail M. Ivanov |
| author_facet | Panagiotis Charalambous Sergei Dubovsky Mikhail M. Ivanov |
| author_sort | Panagiotis Charalambous |
| collection | DOAJ |
| description | Abstract We compute scalar static response coefficients (Love numbers) of non-dilatonic black p-brane solutions in higher dimensional supergravity. This calculation reveals a fine-tuning behavior similar to that of higher dimensional black holes, which we explain by “hidden” near-zone Love symmetries. In general, these symmetries act on equations for perturbations but they are not background isometries. The Love symmetry of charged p = 0 branes is described by the usual SL(2, ℝ) algebra. For p = 1 the Love symmetry has an algebraic structure SL(2, ℝ) × SL(2, ℝ). The p = 0, 1 Love symmetries reduce to isometries of the near-horizon Schwarzschild-AdS p+2 metric in the near-extremal finite temperature limit. They further reduce to the AdS p+2 isometries in the extremal zero-temperature limit. We call this process geometrization. In contrast, for the p > 1 cases, the Love symmetry is always an SL(2, ℝ), and there is no limit in which it becomes geometric. We interpret geometrization and its absence as a consequence of the local equivalence between the Schwarzschild-AdS p+2 and pure AdS p+2 spaces for p = 0, 1, which does not hold for p > 1. We also show that the static Love numbers of extremal p-branes are always zero regardless of spacetime dimensionality, which contrasts starkly with the non-extremal case. Overall, our results suggest that the Love symmetry is hidden by nature, and it can acquire a geometric meaning only if the background has an AdS2 or AdS3 limit. |
| format | Article |
| id | doaj-art-2055827f95894309b7e9fcdfd332c3dd |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-2055827f95894309b7e9fcdfd332c3dd2025-08-20T03:04:11ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025615210.1007/JHEP06(2025)180Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrizationPanagiotis Charalambous0Sergei Dubovsky1Mikhail M. Ivanov2International School for Advanced Studies (SISSA)Center for Cosmology and Particle Physics, Department of Physics, New York UniversityCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract We compute scalar static response coefficients (Love numbers) of non-dilatonic black p-brane solutions in higher dimensional supergravity. This calculation reveals a fine-tuning behavior similar to that of higher dimensional black holes, which we explain by “hidden” near-zone Love symmetries. In general, these symmetries act on equations for perturbations but they are not background isometries. The Love symmetry of charged p = 0 branes is described by the usual SL(2, ℝ) algebra. For p = 1 the Love symmetry has an algebraic structure SL(2, ℝ) × SL(2, ℝ). The p = 0, 1 Love symmetries reduce to isometries of the near-horizon Schwarzschild-AdS p+2 metric in the near-extremal finite temperature limit. They further reduce to the AdS p+2 isometries in the extremal zero-temperature limit. We call this process geometrization. In contrast, for the p > 1 cases, the Love symmetry is always an SL(2, ℝ), and there is no limit in which it becomes geometric. We interpret geometrization and its absence as a consequence of the local equivalence between the Schwarzschild-AdS p+2 and pure AdS p+2 spaces for p = 0, 1, which does not hold for p > 1. We also show that the static Love numbers of extremal p-branes are always zero regardless of spacetime dimensionality, which contrasts starkly with the non-extremal case. Overall, our results suggest that the Love symmetry is hidden by nature, and it can acquire a geometric meaning only if the background has an AdS2 or AdS3 limit.https://doi.org/10.1007/JHEP06(2025)180Black HolesClassical Theories of GravityP-BranesSpace-Time Symmetries |
| spellingShingle | Panagiotis Charalambous Sergei Dubovsky Mikhail M. Ivanov Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization Journal of High Energy Physics Black Holes Classical Theories of Gravity P-Branes Space-Time Symmetries |
| title | Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization |
| title_full | Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization |
| title_fullStr | Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization |
| title_full_unstemmed | Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization |
| title_short | Love numbers of black p-branes: fine tuning, Love symmetries, and their geometrization |
| title_sort | love numbers of black p branes fine tuning love symmetries and their geometrization |
| topic | Black Holes Classical Theories of Gravity P-Branes Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP06(2025)180 |
| work_keys_str_mv | AT panagiotischaralambous lovenumbersofblackpbranesfinetuninglovesymmetriesandtheirgeometrization AT sergeidubovsky lovenumbersofblackpbranesfinetuninglovesymmetriesandtheirgeometrization AT mikhailmivanov lovenumbersofblackpbranesfinetuninglovesymmetriesandtheirgeometrization |