Gauge Generators, Transformations and Identities on a Noncommutative Space
High Energy Physics - Theory
2008-11-26 v2
Abstract
By abstracting a connection between gauge symmetry and gauge identity on a noncommutative space, we analyse star (deformed) gauge transformations with usual Leibnitz rule as well as undeformed gauge transformations with a twisted Leibnitz rule. Explicit structures of the gauge generators in either case are computed. It is shown that, in the former case, the relation mapping the generator with the gauge identity is a star deformation of the commutative space result. In the latter case, on the other hand, this result gets twisted to yield the desired map.
Cite
@article{arxiv.hep-th/0608214,
title = {Gauge Generators, Transformations and Identities on a Noncommutative Space},
author = {Rabin Banerjee and Saurav Samanta},
journal= {arXiv preprint arXiv:hep-th/0608214},
year = {2008}
}
Comments
LaTex, 21 pages, Section 2 has been considerably expanded, 3 new references added, To appear in EPJC