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arXiv · 1406.6318

SUSY gauge theory on graded manifolds

G. Sardanashvily·W. Wachowski
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Abstract

Lagrangian classical field theory of even and odd fields is adequately formulated in terms of fibre bundles and graded manifolds. In particular, conventional Yang-Mills gauge theory is theory of connections on smooth principal bundles, but its BRST extension involves odd ghost fields an antifields on graded manifolds. Here, we formulate Yang-Mills theory of Grassmann-graded gauge fields associated to Lie superalgebras on principal graded bundles. A problem lies in a geometric definition of odd gauge fields. Our goal is Yang--Mills theory of graded gauge fields and its BRST extension.

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G. Sardanashvily, W. Wachowski. 2014-06-24. SUSY gauge theory on graded manifolds. https://arxiv.org/abs/1406.6318

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