Dimensional reduction, Seiberg-Witten map, and supersymmetry

Saka E. U., Ulker K.

PHYSICAL REVIEW D, vol.75, no.8, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 8
  • Publication Date: 2007
  • Doi Number: 10.1103/physrevd.75.085009
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul University Affiliated: Yes


It is argued that dimensional reduction of the 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 super Yang-Mills (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 leave the actions invariant after performing Seiberg-Witten maps.