标题： 引力作为超对称规范理论 显示英文标题

标题： Gravitation as a Supersymmetric Gauge Theory

摘要： 我们提出了一种引力的规范理论。 规范势是Super SL(2,C)群的联络。 提出了一个类似于MacDowell-Mansouri的作用量，其中作用量在Super SL(2,C)曲率上是二次的，并且完全依赖于规范联络。 通过打破Super SL(2,C)拓扑规范理论的对称性到SL(2,C)，自然定义了一个旋量度规。 借助一个辅助反交换旋量场，该理论被约化为广义相对论。 哈密顿变量与Ashtekar给出的变量相关联。 辅助旋量场在引力正能证明中扮演了Witten旋量的角色。 显示英文摘要

摘要： We propose a gauge theory of gravitation. The gauge potential is a connection of the Super SL(2,C) group. A MacDowell-Mansouri type of action is proposed where the action is quadratic in the Super SL(2,C) curvature and depends purely on gauge connection. By breaking the symmetry of the Super SL(2,C) topological gauge theory to SL(2,C), a spinor metric is naturally defined. With an auxiliary anti-commuting spinor field, the theory is reduced to general relativity. The Hamiltonian variables are related to the ones given by Ashtekar. The auxiliary spinor field plays the role of Witten spinor in the positive energy proof for gravitation.