An introduction to supermanifolds and supersymmetry
arXiv:2006.01870
Abstract
The aim of these notes (which were partially covered in lectures given at the Peyresq Summer School on 17--22 June, 2002) is to give an introduction to some mathematical aspects of supersymmetry. Some (hopefully) original point of view are added, by using and developing some results in arXiv:math-ph/0603045, where maps of supermanifolds are analyzed in details and, also, in the presentation of the super Minkowski spaces in dimensions 3, 4, 6 and 10.
44 pages, 3 figures. Chapter from the book: " Systemes integrables et theorie des quantique des champs", Paul Baird, Frédéric Hélein, Joseph Kouneiher, Franz Pedit, Volodya Roubtsov, editors, Hermann Travaux en cours N. 75, 2009