Abstract
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.
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Acknowledgments
We would like to thank Yang Lei, Hongfei Shu and Rui-Dong Zhu for very inspiring discussions. The work of XHG is supported in part by NSFC, China (Grant No. 12275166 and No. 12311540141). MM is supported by Shanghai Post-doctoral Excellence Program. KZ (Hong Zhang) is supported by a classified fund of Shanghai city.
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Ge, XH., Matsumoto, M. & Zhang, K. Duality between Seiberg-Witten theory and black hole superradiance. J. High Energ. Phys. 2024, 336 (2024). https://doi.org/10.1007/JHEP05(2024)336
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DOI: https://doi.org/10.1007/JHEP05(2024)336