Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory

Details Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory

2003-01-23

arxiv.org/abs/hep-th/0301176v1

Phys.Rev. D67 (2003) 105025

Physics

High Energy Physics

High Energy Physics - Theory

22 pages

Scientific paper

10.1103/PhysRevD.67.105025

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 $k$ which appears in the extended ADHM construction should be interpreted as the $D4$-brane charge rather than the $D0$-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 $k$ can be interpreted as the charge of the $D0$-brane bound to the $D8$-brane with the $B$-field in the case that the noncommutativity parameter is self-dual.

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