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Group manifold approach to supergravity

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arxiv 2211.04318 v1 pith:YX7C2QZV submitted 2022-11-08 hep-th gr-qcmath-phmath.MP

Group manifold approach to supergravity

classification hep-th gr-qcmath-phmath.MP
keywords manifoldgroupsupergravityapproachactionappendicesbasiccentral
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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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