论文标题

群歧管超级歧视方法

Group manifold approach to supergravity

论文作者

Castellani, Leonardo

论文摘要

从最近的发展的角度来看,我们对超级重力理论的群体几何方法进行了简短的综述。核心思想是在超组歧管中通常的差异性,规范对称性和超对称性的统一。 $ n = 1 $ $ d = 4 $的示例进行了详细讨论,并用来说明构建组歧管动作的所有步骤。在附录中,我们总结了组歧管几何形状的基本概念,以及在超级词中的集成。

We present a short review of the group-geometric approach to supergravity theories, from the point of view of recent developments. The central idea is the unification of usual diffeomorphisms, gauge symmetries and supersymmetries into superdiffeomorphisms in a supergroup manifold. The example of $N=1$ supergravity in $d=4$ is discussed in detail, and used to illustrate all the steps in the construction of a group manifold action. In the Appendices we summarize basic notions of group manifold geometry, and of integration on supermanifolds.

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