English

Gauge Theory on Noncommutative Supersphere from Supermatrix Model

High Energy Physics - Theory 2009-11-10 v2

Abstract

We construct a supermatrix model which has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on sphere. This theory has osp(12)osp(1|2) supersymmetry and u(2L+12L)u(2L+1|2L) gauge symmetry. We also discuss a commutative limit of the model keeping radius of the supersphere fixed.

Keywords

Cite

@article{arxiv.hep-th/0311005,
  title  = {Gauge Theory on Noncommutative Supersphere from Supermatrix Model},
  author = {Satoshi Iso and Hiroshi Umetsu},
  journal= {arXiv preprint arXiv:hep-th/0311005},
  year   = {2009}
}

Comments

16 pages, Latex, typos corrected, references added

R2 v1 2026-07-22T15:19:50.715Z