Construction of Noncommutative Instantons in 4k Dimensions
High Energy Physics - Theory
2008-11-26 v1
Abstract
We consider generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the commutative limit the BPST-type configurations coincide with the standard instantons on HP^n written in local coordinates.
Keywords
Cite
@article{arxiv.hep-th/0703009,
title = {Construction of Noncommutative Instantons in 4k Dimensions},
author = {Johannes Broedel and Tatiana A. Ivanova and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:hep-th/0703009},
year = {2008}
}
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1+9 pages