Twisted Bundle on Noncommutative Space and U(1) Instanton
High Energy Physics - Theory
2007-05-23 v2
Abstract
We study the notion of twisted bundles on noncommutative space. Due to the existence of projective operators in the algebra of functions on the noncommutative space, there are twisted bundles with non-constant dimension. The U(1) instanton solution of Nekrasov and Schwarz is such an example. As a mathematical motivation for not excluding such bundles, we find gauge transformations by which a bundle with constant dimension can be equivalent to a bundle with non-constant dimension.
Cite
@article{arxiv.hep-th/0003012,
title = {Twisted Bundle on Noncommutative Space and U(1) Instanton},
author = {Pei-Ming Ho},
journal= {arXiv preprint arXiv:hep-th/0003012},
year = {2007}
}
Comments
Lecture at APCTP-KIAS winter school on Strings and D-branes 2000. some mistakes corrected