Noncommutative Instantons in 4k Dimensions
High Energy Physics - Theory
2010-04-05 v1
Abstract
We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which generalize the 't Hooft and BPST instantons from R^4 to noncommutative R^{4k}. The BPST-type configurations appear to be new even in the commutative case.
Keywords
Cite
@article{arxiv.hep-th/0502117,
title = {Noncommutative Instantons in 4k Dimensions},
author = {Tatiana A. Ivanova and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:hep-th/0502117},
year = {2010}
}
Comments
1+10 pages