Noncommutative Geometric Gauge Theory from Superconnections
Abstract
Noncommutative geometric gauge theory is reconstructed based on the superconnection concept. The bosonic action of the Connes-Lott model including the symmetry breaking Higgs sector is obtained by using a new generalized derivative, which consists of the usual 1-form exterior derivative plus an extra element called the matrix derivative, for the curvatures. We first derive the matrix derivative based on superconnections and then show how the matrix derivative can give rise to spontaneous symmetry breaking. We comment on the correspondence between the generalized derivative and the generalized Dirac operator of the Connes-Lott model.
Keywords
Cite
@article{arxiv.hep-th/9602159,
title = {Noncommutative Geometric Gauge Theory from Superconnections},
author = {Chang-Yeong Lee},
journal= {arXiv preprint arXiv:hep-th/9602159},
year = {2008}
}
Comments
14 pages, RevTex file, minor modifications, a few references added, the version appeared in J. Korean Phys. Soc