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Nonabelian noncommutative gauge fields and Seiberg-Witten map

2000/12/22 by Branislav Jurco, Peter Schupp, Julius Wess
Physics and Astronomy · #hep-th

paper · pdf

published as Mod.Phys.Lett. A16 (2001) 343-348 · 13 pages, talk presented by P. Schupp at ``Brane new world'' conference in Torino 2000

arxiv created 2000/12/22 · arxiv updated 2009/11/30

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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