Noncommutative Deformation of Instantons
High Energy Physics - Theory
2008-11-26 v2
Abstract
We construct instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R^4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T^4 with twisted boundary conditions.
Keywords
Cite
@article{arxiv.0805.3373,
title = {Noncommutative Deformation of Instantons},
author = {Yoshiaki Maeda and Akifumi Sako},
journal= {arXiv preprint arXiv:0805.3373},
year = {2008}
}
Comments
13 pages, no figures, some references and comments are added