Nonabelian noncommutative gauge fields and Seiberg-Witten map

Details Nonabelian noncommutative gauge fields and Seiberg-Witten map Nonabelian noncommutative gauge fields and Seiberg-Witten map

2000-12-22

arxiv.org/abs/hep-th/0012225v1

Mod.Phys.Lett. A16 (2001) 343-348

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, talk presented by P. Schupp at ``Brane new world'' conference in Torino 2000

Scientific paper

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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