BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions

Details BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions

2002-05-28

arxiv.org/abs/hep-th/0205283v2

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

We study the 1/4 BPS equations in the eight dimensional noncommutative Yang-Mills theory found by Bak, Lee and Park. We explicitly construct some solutions of the 1/4 BPS equations using the noncommutative version of the ADHM-like construction in eight dimensions. From the calculation of topological charges, we show that our solutions can be interpreted as the bound states of the $D0$-$D4$-$D8$ with a $B$-field. We also discuss the structure of the moduli space of the 1/4 BPS solutions and determine the metric of the moduli space of the U(2) one-instanton in four and eight dimensions.

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