We conjecture a new ordinary differential equation exactly isospectral to the radial component of the homogeneous Teukolsky equation. We find this novel relation by a hidden symmetry implied from a four-dimensional \(\mathcal {N}=2\) supersymmetric quantum chromodynamics. Our proposal is powerful both in analytical and in numerical studies. As an application, we derive high-order perturbative series of quasinormal mode frequencies in the slowly rotating limit. We also test our result numerically by comparing it with a known technique.

中文翻译：

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Teukolsky 方程的替代方法

我们推测一个新的常微分方程与齐次 Teukolsky 方程的径向分量完全等谱。我们通过四维\(\mathcal {N}=2\)超对称量子色动力学隐含的隐藏对称性发现了这种新颖的关系。我们的建议在分析和数值研究中都很强大。作为一个应用，我们推导出了慢速旋转极限中准正规模式频率的高阶微扰序列。我们还通过将其与已知技术进行比较来对我们的结果进行数值测试。