English

Nonabelian Gauge Theories on Noncommutative Spaces

High Energy Physics - Theory 2015-06-26 v3

Abstract

In this paper, we describe a method for obtaining the nonabelian Seiberg-Witten map for any gauge group and to any order in theta. The equations defining the Seiberg-Witten map are expressed using a coboundary operator, so that they can be solved by constructing a corresponding homotopy operator. The ambiguities, of both the gauge and covariant type, which arise in this map are manifest in our formalism.

Cite

@article{arxiv.hep-th/0107225,
  title  = {Nonabelian Gauge Theories on Noncommutative Spaces},
  author = {D. Brace and B. L. Cerchiai and B. Zumino},
  journal= {arXiv preprint arXiv:hep-th/0107225},
  year   = {2015}
}

Comments

14 pages, latex, Talk presented at 2001: A Spacetime Odyssey - Michigan Center for Theoretical Physics, some typos corrected