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BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions

Yoshiki Hiraoka
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Abstract

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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Yoshiki Hiraoka. 2002-06-06. BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions. https://arxiv.org/abs/hep-th/0205283

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