Reduction of principal superbundles, Higgs superfields, and supermetric

Details Reduction of principal superbundles, Higgs superfields, and supermetric Reduction of principal superbundles, Higgs superfields, and supermetric

2006-09-11

arxiv.org/abs/hep-th/0609070v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

By virtue of the well-known theorem, a structure Lie group G of a principal bundle P is reducible to its closed subgroup H iff there exists a global section of the quotient bundle P/H. In gauge theory, such sections are treated as classical Higgs fields, and are exemplified by Riemannian and pseudo-Riemannian metrics. This theorem is extended to a certain class of principal superbundles, including a graded frame superbundle with a structure general linear supergroup. Each reduction of this structure supergroup to an orthgonal-symplectic supersubgroup is associated to a supermetric on a base supermanifold.

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