Gauge theories, flat superforms and reduction of super fiber bundles
Connection superforms defined on super fiber bundles represent fields of both supersymmetric and non-supersymmetric quantized gauge theories, provided that some constraint equations on connections are imposed. In this paper we investigate the geometrical meaning of these constraint equations in such a way that we can recognize certain classes of connection superforms as the suitable ones to represent the fields of these gauge theories. Moreover, the existence of such classes of connections implies a reduction of the involved super fiber bundles to the effective spaces on wemes is a response to this question. We introduce a class of modules which generalizes the idea of a projective module, and which is particularly relevant to the applications of representation theory to translation planes.
scientific article; zbMATH DE number 4067926
scientific article