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Gauge theories on the noncommutative sphere

High Energy Physics - Theory 2009-10-30 v1

Abstract

Gauge theories are formulated on the noncommutative two-sphere. These theories have only finite number of degrees of freedom, nevertheless they exhibit both the gauge symmetry and the SU(2) "Poincar\'e" symmetry of the sphere. In particular, the coupling of gauge fields to chiral fermions is naturally achieved.

Keywords

Cite

@article{arxiv.hep-th/9710153,
  title  = {Gauge theories on the noncommutative sphere},
  author = {C. Klimcik},
  journal= {arXiv preprint arXiv:hep-th/9710153},
  year   = {2009}
}

Comments

33 pages, LaTeX

R2 v1 2026-07-22T16:07:28.480Z