English

Noncommutative spin-1/2 representations

High Energy Physics - Theory 2011-09-13 v1

Abstract

In this letter we apply the methods of our previous paper hep-th/0108045 to noncommutative fermions. We show that the fermions form a spin-1/2 representation of the Lorentz algebra. The covariant splitting of the conformal transformations into a field-dependent part and a \theta-part implies the Seiberg-Witten differential equations for the fermions.

Keywords

Cite

@article{arxiv.hep-th/0110231,
  title  = {Noncommutative spin-1/2 representations},
  author = {J. M. Grimstrup and H. Grosse and E. Kraus and L. Popp and M. Schweda and R. Wulkenhaar},
  journal= {arXiv preprint arXiv:hep-th/0110231},
  year   = {2011}
}

Comments

7 pages, LaTeX