Dimensional reduction, Seiberg-Witten map, and supersymmetry


Saka E. U., Ulker K.

PHYSICAL REVIEW D, cilt.75, sa.8, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 8
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1103/physrevd.75.085009
  • Dergi Adı: PHYSICAL REVIEW D
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.