论文标题
黑洞准级准频率的泛音级别间距：本地$ SL的指纹（2，\ Mathbb {r}）$对称性
The overtone level spacing of a black hole quasinormal frequencies: a fingerprint of a local $SL(2,\mathbb{R})$ symmetry
论文作者
论文摘要
在分析上，静态和球形对称黑洞的准频率光谱的假想部分在分析上是平均间隔间隔的，既是高度阻尼和弱阻尼的准模式的家族。在过去的二十年中，已经做出了一些有趣的尝试，以简单的方式理解此级别间距，这是唯一高度阻尼的准频率的情况。在这里，我们表明，对于超级模式的高度阻尼和弱阻尼的家族而言，销售级别的间距可以简单地理解为隐藏的当地$ sl（2，\ mathbb {r}）$对称性的指纹，靠近黑洞空间的不同地区，即接近Horizon和几乎是Horizizon和接近Horizizon and-Horizon和Phrop-photonn of-phot-phototon。
The imaginary part of the quasinormal frequencies spectrum for a static and spherically symmetric black hole is analytically known to be equally spaced, both for the highly damped and the weakly damped families of quasinormal modes. Some interesting attempts have been made in the last twenty years to understand in simple ways this level spacing for the only case of highly damped quasinormal frequencies. Here, we show that the overtone level spacing, for both the highly damped and weakly damped families of quasinormal modes, can simply be understood as a fingerprint of a hidden local $SL(2,\mathbb{R})$ symmetry, near different regions of the black hole spacetime, i.e. the near-horizon and the near-photon sphere regions.
