English

Group manifold approach to supergravity

High Energy Physics - Theory 2022-11-09 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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=1N=1 supergravity in d=4d=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.

Keywords

Cite

@article{arxiv.2211.04318,
  title  = {Group manifold approach to supergravity},
  author = {Leonardo Castellani},
  journal= {arXiv preprint arXiv:2211.04318},
  year   = {2022}
}

Comments

27 pages. Invited chapter for the "Handbook of Quantum Gravity", Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer, expected in 2023. arXiv admin note: substantial text overlap with arXiv:1802.03407

R2 v1 2026-06-28T05:26:02.133Z