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 supergravity in 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.
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