论文标题
黑洞准模式和塞伯格（Seiberg-Witten）理论
Black Hole Quasinormal Modes and Seiberg-Witten Theory
论文作者
论文摘要
我们提出了有关黑洞扰动理论的新分析结果。我们的结果基于与四维$ \ Mathcal {n} = 2 $超对称量规理论的新颖关系。我们在$ω$ - background的特定阶段中，根据nekrasov分区函数在准模式频率上提出了一个精确版本的bohr-sommerfeld量化条件。我们的量化条件还使我们能够找到自旋加权球体谐波特征值的精确表达式。我们通过与Kerr黑洞以及Schwarzschild黑洞的已知数值结果进行比较来测试猜想的有效性。还讨论了一些扩展。
We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on quasinormal mode frequencies in terms of the Nekrasov partition function in a particular phase of the $Ω$-background. Our quantization conditions also enable us to find exact expressions of eigenvalues of spin-weighted spheroidal harmonics. We test the validity of our conjecture by comparing against known numerical results for Kerr black holes as well as for Schwarzschild black holes. Some extensions are also discussed.
