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Nonabelian noncommutative gauge fields and Seiberg-Witten map

Branislav Jurco·Peter Schupp·Julius Wess
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Abstract

Noncommutative gauge fields (similar to the type that arises in string theory with background B-fields) are constructed for arbitrary nonabelian gauge groups with the help of a map that relates ordinary nonabelian and noncommutative gauge theories (Seiberg-Witten map). As in our previous work we employ Kontsevich's formality and the concept of equivalent star products. As a byproduct we obtain a ``Mini Seiberg-Witten map'' that explicitly relates ordinary abelian and nonabelian gauge fields.

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Branislav Jurco, Peter Schupp, Julius Wess. 2000-12-22. Nonabelian noncommutative gauge fields and Seiberg-Witten map. https://arxiv.org/abs/hep-th/0012225

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