论文标题
Teukolsky方程的替代方案
An alternative to the Teukolsky equation
论文作者
论文摘要
我们猜想了一个新的普通微分方程，正好与均匀Teukolsky方程的径向成分相准确。我们发现这种新颖的关系是通过四维$ \ Mathcal {n} = 2 $超对称量子染色体动力学所隐含的隐藏对称性。我们的建议在分析和数值研究中都很强大。作为应用程序，我们在缓慢旋转的极限下得出了高阶扰动系列的准模式频率。我们还通过将结果与已知技术进行比较来测试结果。
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.
