Dimensional Reduction, Seiberg--Witten Map and Supersymmetry

Details Dimensional Reduction, Seiberg--Witten Map and Supersymmetry Dimensional Reduction, Seiberg--Witten Map and Supersymmetry

2007-01-19

arxiv.org/abs/hep-th/0701178v2

Phys.Rev.D75:085009,2007

Physics

High Energy Physics

High Energy Physics - Theory

14 pages. One Ref. added. To appear in PRD

Scientific paper

10.1103/PhysRevD.75.085009

It is argued that dimensional reduction of Seiberg-Witten map for a gauge field induces Seiberg-Witten maps for the other noncommutative fields of a gauge invariant theory. We demonstrate this observation by dimensionally reducing the noncommutative N=1 SYM theory in 6 dimensions to obtain noncommutative N=2 SYM in 4 dimensions. We explicitly derive Seiberg-Witten maps of the component fields in 6 and 4 dimensions. Moreover, we give a general method to define the deformed supersymmetry transformations that leaves the actions invariant after performing the Seiberg-Witten maps.

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