Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-08-01
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, no figures, proof of the instanton equation included, more details on the higher dimensional case added
Scientific paper
Partial Isometries are important constructs that help give nontrivial solutions once a simple solution is known. We generalize this notion to Extended Partial Isometries and include operators which have right inverses but no left inverses (or vice versa). We find a large class of such operators and conjecture the moduli space to be the Hilbert Scheme of Points. Further, we apply this technique to find instanton solutions of a noncommutative N=1 supersymmetric gauge theory in six dimensions and show that this construction yields nontrivial solutions for other noncommutative gauge theories. The analysis is done in one complex dimension and the generalization of the result to higher dimensions is shown.
Amdeberhan Tewodros
Ayyer Arvind
No associations
LandOfFree
Towards The Moduli Space of Extended Partial Isometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Towards The Moduli Space of Extended Partial Isometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards The Moduli Space of Extended Partial Isometries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-615804