Gauge Theories on Open Lie Algebra Non-Commutative Spaces
High Energy Physics - Theory
2009-11-07 v2
Abstract
It is shown that non-commutative spaces, which are quotients of associative algebras by ideals generated by non-linear relations of a particular type, admit extremely simple formulae for deformed or star products. Explicit construction of these star products is carried out. Quantum gauge theories are formulated on these spaces, and the Seiberg-Witten map is worked out in detail.
Cite
@article{arxiv.hep-th/0211125,
title = {Gauge Theories on Open Lie Algebra Non-Commutative Spaces},
author = {A. Agarwal and L. Akant},
journal= {arXiv preprint arXiv:hep-th/0211125},
year = {2009}
}
Comments
11 pages, no figures, Some comments and references added