Nonabelian noncommutative gauge fields and Seiberg-Witten map
High Energy Physics - Theory
2007-05-23 v1
Abstract
Noncommutative gauge fields (similar to the type that arises in string theory with background B-fields) are constructed for arbitrary nonabelian gauge groups with the help of a map that relates ordinary nonabelian and noncommutative gauge theories (Seiberg-Witten map). As in our previous work we employ Kontsevich's formality and the concept of equivalent star products. As a byproduct we obtain a ``Mini Seiberg-Witten map'' that explicitly relates ordinary abelian and nonabelian gauge fields.
Cite
@article{arxiv.hep-th/0012225,
title = {Nonabelian noncommutative gauge fields and Seiberg-Witten map},
author = {Branislav Jurco and Peter Schupp and Julius Wess},
journal= {arXiv preprint arXiv:hep-th/0012225},
year = {2007}
}
Comments
13 pages, talk presented by P. Schupp at ``Brane new world'' conference in Torino 2000