Duality between Seiberg-Witten Theory and Black Hole Superradiance

Xian-Hui Ge, Masataka Matsumoto, Kilar Zhang
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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.
塞伯格-维滕理论与黑洞超光度之间的二元性
新建立的塞伯格-维滕(SW)/准正常模(QNM)对应关系为计算 QNM 频率提供了一种有效的分析方法,而这种方法以前只能通过数值计算。这是基于双方都以 Heun 型方程为特征的事实。我们发现塞伯格-维滕理论与黑洞上辐度之间也存在类似的对偶性,因为后者经过适当变换后也可以与汇合海恩方程联系起来。然后,我们构建了一个字典,用轨距参数来写出超光度频率。进一步通过斯坦顿计数,并通过连接公式处理边界条件,分析得到了相关频率,并显示出与已知数值结果的一致性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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