黑洞熵与SU（2）陈-西蒙斯理论
Black hole entropy and SU(2) Chern-Simons theory
摘要：
处于平衡状态的黑洞可以用在代表事件视界的零曲面上给定的所谓孤立视界边界条件局部定义。我们表明，这个边界条件可以在一个明显的SU（2）不变的方式处理。量子化后，状态计数表示为带有标记点的球面上的Chern-Simons Hilbert空间的维数。此外，计数可以被映射到计数与标记缺陷的自旋兼容的SU（2）缠结的数量。由此得到的BH熵与a_H成正比，对数修正ΔS=-3/2 \log a_H。我们从第一原理出发的处理完全解决了以前关于国家计数的争论。
英文摘要：
Black holes in equilibrium can be defined locally in terms of the so-called isolated horizon boundary condition given on a null surface representing the event horizon. We show that this boundary condition can be treated in a manifestly SU(2) invariant manner. Upon quantization, state counting is expressed in terms of the dimension of Chern-Simons Hilbert spaces on a sphere with marked points. Moreover, the counting can be mapped to counting the number of SU(2) intertwiners compatible with the spins that label the defects. The resulting BH entropy is proportional to a_H with logarithmic corrections ΔS=-3/2 \log a_H. Our treatment from first principles completely settles previous controversies concerning the counting of states.
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