论文标题
黑洞地平线上的奇异超级翻译和Chern-Simons理论
Singular Supertranslations and Chern-Simons Theory on the Black Hole Horizon
论文作者
论文摘要
我们使用霍尔斯特（Holst Action）的一阶配方构建了Schwarzschild Black Hole的未来地平线上的标准和双重倾斜电荷。标准和双重超级翻译电荷的狄拉克支架代数显示在与超级倾斜相关的两个球函数中存在奇异性的情况下表现出中心术语。我们表明，可以通过在地平线上引入重力Chern-Simons理论来取消此异常术语并恢复渐近对称代数。这表明渐近对称代数的一致性需要在地平线上进行新的结构。
We construct the standard and dual supertranslation charges on the future horizon of the Schwarzschild black hole, using the first-order formulation of gravity with the Holst action. The Dirac bracket algebra of standard and dual supertranslation charges is shown to exhibit a central term in the presence of singularities in the two-sphere function associated with supertranslation. We show that one can cancel this anomalous term and restore the asymptotic symmetry algebra by introducing a gravitational Chern-Simons theory on the horizon. This demonstrates that consistency of the asymptotic symmetry algebra requires a new structure on the horizon.
