Abstract
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 which these gauge theories develop.
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