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

Yoshiki Hiraoka
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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 $k$ 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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Yoshiki Hiraoka. 2003-01-23. Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory. https://doi.org/10.1103/physrevd.67.105025

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