Noncommutative geometry and physics: a review of selected recent results
High Energy Physics - Theory
2009-10-31 v2
Abstract
This review is based on two lectures given at the 2000 TMR school in Torino. We discuss two main themes: i) Moyal-type deformations of gauge theories, as emerging from M-theory and open string theories, and ii) the noncommutative geometry of finite groups, with the explicit example of Z_2, and its application to Kaluza-Klein gauge theories on discrete internal spaces.
Keywords
Cite
@article{arxiv.hep-th/0005210,
title = {Noncommutative geometry and physics: a review of selected recent results},
author = {Leonardo Castellani},
journal= {arXiv preprint arXiv:hep-th/0005210},
year = {2009}
}
Comments
Based on lectures given at the TMR School on contemporary string theory and brane physics, Jan 26- Feb 2, 2000, Torino, Italy. To be published in Class. Quant. Grav. 17 (2000). 3 ref.s added, typos corrected, formula on exterior product of n left-invariant one-forms corrected, small changes in the Sect. on integration