Schwarzschild视界动力学与SU（2）Chern-Simons理论
Schwarzschild horizon dynamics and SU(2) Chern-Simons theory
摘要：
本文讨论了体定域Lorentz不变性的部分规范固定的不同选择对用SU（2）Chern-Simons理论描述Schwarzschild黑洞视界自由度的影响。本文还讨论了ISO（2）Chern-Simons理论的经典等价描述。此外，我们证明了这两种描述都可以部分规范固定到具有U（1）局部规范不变性的视界理论，焊料形式的源在与U（1）变换保持不变的内部向量场正交的方向上受到额外的约束。因此，对于史瓦西黑洞的视界理论（以及一般的球形孤立视界），看似不同的表征方法在物理上是等价的。
英文摘要：
We discuss the effect of different choices in partial gauge fixing of bulk local Lorentz invariance, on the description of the horizon degrees of freedom of a Schwarzschild black hole as an SU(2) Chern-Simons theory with specific sources. A classically equivalent description in terms of an ISO(2) Chern-Simons theory is also discussed. Further, we demonstrate that both these descriptions can be partially gauge fixed to a horizon theory with U(1) local gauge invariance, with the solder form sources being subject to extra constraints in directions orthogonal to an internal vector field left invariant by U(1) transformations. Seemingly disparate approaches on characterization of the horizon theory for the Schwarzschild black hole (as well as spherical Isolated Horizons in general) are thus shown to be equivalent physically.
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