Group manifold approach to supergravity

Leonardo Castellani

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arXiv · 2211.04318

Group manifold approach to supergravity

Leonardo Castellani

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Abstract

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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Leonardo Castellani. 2022-11-08. Group manifold approach to supergravity. https://arxiv.org/abs/2211.04318

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