论文标题
来自黑洞地平线上奇异超译的全息图
Holography from Singular Supertranslations on a Black Hole Horizon
论文作者
论文摘要
我们在黑洞地平线上研究了标准和双键键 - 摩托纳 - 摩纳克（BMS）超级翻译发生器，并得出有关黑洞物理学的一些结论。最近，已经表明，除了常规的BMS超级翻译对称性外，还有一组额外的无限磁渐近对称性组，即双BMS超级翻译，再次由两杆上的函数参数。我们表明，当一个参数函数在球体上的复杂刻度坐标中表现出奇异性时，这些发电机之间的狄拉克支架表现出异常的中心项。为了保留一般坐标不变性，我们证明可以通过假定地平线上的全息引力Chern-Simons理论来消除此中心术语。这表明，对于在黑洞存在下无异常的量子重力理论，应包括地平线上的边界理论。
We investigate the standard and dual Bondi-Metzner-Sachs (BMS) supertranslation generators on a black hole horizon and draw some conclusions about black hole physics. Recently, it has been shown that in addition to conventional BMS supertranslation symmetries, there exists an additional infinite set of magnetic asymptotic symmetries, dual BMS supertranslations, again parametrized by a function on the two-sphere. We show that the Dirac bracket between these generators exhibits an anomalous central term when one parameter function exhibits a singularity in the complex stereographical coordinates on the sphere. In order to preserve general coordinate invariance, we demonstrate that this central term can be removed by postulating a holographic gravitational Chern-Simons theory on the horizon. This indicates that for an anomaly-free theory of quantum gravity in the presence of a black hole, one should include a boundary theory on the horizon.
