BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions
نویسنده
چکیده
We study the 1/4 BPS equations in the eight dimensional noncommutative YangMills 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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