On the structure of superfields in a field theory on a supermanifold
In view of applications to the formulation of gauge field theories on supermanifolds, we study the relation between the sheaves of functions on a supermanifold M and its body manifold \(M_ 0\), respectively. The nonuniqueness of the local injections \(\iota\) : \(M_ 0\to M\) is analysed in consideration of its role in supersymmetric field theories. A Banach space structure is given to the set of bounded, supersmooth, \(C^ k\) fields on M in order to get a rigorous formulation of variational principles for the class of theories under consideration.
scientific article; zbMATH DE number 3942538
scientific article