Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
Abstract
We study the noncommutative version of the extended ADHM construction in the eight dimensional U(1) Yang-Mills theory. This construction gives rise to the solutions of the BPS equations in the Yang-Mills theory, and these solutions preserve at least 3/16 of supersymmetries. In a wide subspace of the extended ADHM data, we show that the integer which appears in the extended ADHM construction should be interpreted as the -brane charge rather than the -brane charge by explicitly calculating the topological charges in the case that the noncommutativity parameter is anti-self-dual. We also find the relationship with the solution generating technique and show that the integer can be interpreted as the charge of the -brane bound to the -brane with the -field in the case that the noncommutativity parameter is self-dual.
Cite
@article{arxiv.hep-th/0301176,
title = {Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory},
author = {Yoshiki Hiraoka},
journal= {arXiv preprint arXiv:hep-th/0301176},
year = {2009}
}
Comments
22 pages