Duality between Seiberg-Witten Theory and Black Hole Superradiance
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913376605569024 |
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| author | Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar |
| author_facet | Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar |
| contents | The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both sides are characterized by Heun-type equations. We find that a similar duality exists between Seiberg-Witten theory and black hole superradiance, since the latter can also be linked to confluent Heun equation after proper transformation. Then a dictionary is constructed, with the superradiance frequencies written in terms of gauge parameters. Further by instanton counting, and taking care of the boundary conditions through connection formula, the relating frequencies are obtained analytically, which show consistency with known numerical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17441 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality between Seiberg-Witten Theory and Black Hole Superradiance Ge, Xian-Hui Matsumoto, Masataka Zhang, Kilar High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both sides are characterized by Heun-type equations. We find that a similar duality exists between Seiberg-Witten theory and black hole superradiance, since the latter can also be linked to confluent Heun equation after proper transformation. Then a dictionary is constructed, with the superradiance frequencies written in terms of gauge parameters. Further by instanton counting, and taking care of the boundary conditions through connection formula, the relating frequencies are obtained analytically, which show consistency with known numerical results. |
| title | Duality between Seiberg-Witten Theory and Black Hole Superradiance |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2402.17441 |