Twisted Bundle on Noncommutative Space and U(1) Instanton
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 nonconstant 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 nonconstant dimension.
 Publication:

arXiv eprints
 Pub Date:
 March 2000
 arXiv:
 arXiv:hepth/0003012
 Bibcode:
 2000hep.th....3012H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Lecture at APCTPKIAS winter school on Strings and Dbranes 2000. some mistakes corrected