SUSY gauge theory on graded manifolds
Mathematical Physics
2014-06-25 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1406.6318,
title = {SUSY gauge theory on graded manifolds},
author = {G. Sardanashvily and W. Wachowski},
journal= {arXiv preprint arXiv:1406.6318},
year = {2014}
}
Comments
37 pages. arXiv admin note: substantial text overlap with arXiv:1206.2508