Noncommutative Bundles and Instantons in Tehran
High Energy Physics - Theory
2007-05-23 v2 Quantum Algebra
Abstract
We present an introduction to the use of noncommutative geometry for gauge theories with emphasis on a construction of instantons for a class of four dimensional toric noncommutative manifolds. These instantons are solutions of self-duality equations and are critical points of an action functional. We explain the crucial role of twisted symmetries as well as methods from noncommutative index theorems.
Cite
@article{arxiv.hep-th/0603053,
title = {Noncommutative Bundles and Instantons in Tehran},
author = {Giovanni Landi and Walter van Suijlekom},
journal= {arXiv preprint arXiv:hep-th/0603053},
year = {2007}
}
Comments
64 pages; v2: major changes, parts rewritten, references added. Based on lectures delivered by GL at the ``International Workshop on Noncommutative Geometry NCG2005'', Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran, September 2005