Ladder Symmetries of Higher Dimensional Black Holes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912807525548032 |
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| author | Berens, Roman Hui, Lam McLoughlin, Daniel Solomon, Adam R. Staunton, John |
| author_facet | Berens, Roman Hui, Lam McLoughlin, Daniel Solomon, Adam R. Staunton, John |
| contents | We compute the ladder operators for static tidal perturbations to higher-dimensional black holes. These operators map between solutions of the relevant equation of motion at different multipole orders. We focus on spin 0, 1 and 2 perturbations to the Schwarzschild-Tangherlini black hole and on spin 0 perturbations to the 5D Myers-Perry black hole. The ladder structure, used in conjunction with the existence of special ground state solutions, explains why the Love numbers of these higher-dimensional black holes vanish for specific combinations of the multipole moment and number of spacetime dimensions. This generalizes previous work on a ladder symmetry explanation for the vanishing of 4D black hole static Love numbers to higher dimensions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_26748 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ladder Symmetries of Higher Dimensional Black Holes Berens, Roman Hui, Lam McLoughlin, Daniel Solomon, Adam R. Staunton, John High Energy Physics - Theory General Relativity and Quantum Cosmology We compute the ladder operators for static tidal perturbations to higher-dimensional black holes. These operators map between solutions of the relevant equation of motion at different multipole orders. We focus on spin 0, 1 and 2 perturbations to the Schwarzschild-Tangherlini black hole and on spin 0 perturbations to the 5D Myers-Perry black hole. The ladder structure, used in conjunction with the existence of special ground state solutions, explains why the Love numbers of these higher-dimensional black holes vanish for specific combinations of the multipole moment and number of spacetime dimensions. This generalizes previous work on a ladder symmetry explanation for the vanishing of 4D black hole static Love numbers to higher dimensions. |
| title | Ladder Symmetries of Higher Dimensional Black Holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.26748 |