English

Field strength for graded Yang-Mills theory

High Energy Physics - Theory 2007-05-23 v3

Abstract

The field strength is defined for the orthosymplectic non-degenerate graded Lie algebra on three even and two odd generators. We show that a pair of Grassman-odd scalar fields find their place as a constituent part of the graded gauge potential on the equal footing with an ordinary, i.e. Grassman-even, one-form taking values in the proper Lie subalgebra, su(2), of the graded Lie algebra. Some possibilities of constructing a meaningful variational principle are discussed.

Keywords

Cite

@article{arxiv.hep-th/0307230,
  title  = {Field strength for graded Yang-Mills theory},
  author = {Kostyantyn Ilyenko},
  journal= {arXiv preprint arXiv:hep-th/0307230},
  year   = {2007}
}

Comments

2 pages, ReVTeX4, no figures; v3: a reference added

R2 v1 2026-07-22T15:18:22.354Z