Geometry of standard constraints and Weil triviality in supersymmetric gauge theories (Q1263141)

The global geometric construction which supplies a geometric interpretation of standard constraints in supersymmetric gauge theories (it means the vanishing of components of the supercurvature when both indices are spinor-like, namely \({\mathcal F}_{\alpha \beta}=0)\) is developed. The general geometric framework is provided by a principal superfibre bundle \({\mathcal P}\) over a supermanifold \({\mathcal M}\). It is proved that standard constraints imply Weil triviality without any restriction on the topology of the supermanifold \({\mathcal M}\).