English

On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories

High Energy Physics - Theory 2016-01-06 v2

Abstract

We construct a new supermatrix model which represents a manifestly supersymmetric noncommutative regularisation of the UOSp(21)UOSp(2\vert 1) supersymmetric Schwinger model on the supersphere. Our construction is much simpler than those already existing in the literature and it was found by using Poisson geometry in a substantial way.

Keywords

Cite

@article{arxiv.1503.09179,
  title  = {On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories},
  author = {Ctirad Klimcik},
  journal= {arXiv preprint arXiv:1503.09179},
  year   = {2016}
}

Comments

29 pages, we enlarge Section 3.3 by adding a comparison with older results on the subject of the component expansions