In this paper, using rigorous supermanifold theory and relying on a general algebraic description of the Weil homomorphism in the graded setting, we construct a Weil homomorphism for principal superfiber bundles. This is used to construct in terms of curvature forms some invariants associated with the superbundle and in particular to define Chern-Simons forms. Some of the concepts introduced are applied to the study of a "superextension" of the Dirac monopole.
Chern-Simons forms on principal superfiber bundles
BARTOCCI, CLAUDIO;
1990-01-01
Abstract
In this paper, using rigorous supermanifold theory and relying on a general algebraic description of the Weil homomorphism in the graded setting, we construct a Weil homomorphism for principal superfiber bundles. This is used to construct in terms of curvature forms some invariants associated with the superbundle and in particular to define Chern-Simons forms. Some of the concepts introduced are applied to the study of a "superextension" of the Dirac monopole.
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