N=1/2 supersymmetric gauge theory in noncommutative space

Dayi O. F. , KELLEYANE L. T.

EPL, vol.78, no.2, 2007 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 2
  • Publication Date: 2007
  • Doi Number: 10.1209/0295-5075/78/21004
  • Title of Journal : EPL


A formulation of (non-anticommutative) N = 1/2 supersymmetric U( N) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter theta. This leads to Abelian and non-Abelian gauge theories whose supersymmetry transformations are local and non-local, respectively. Copyright (C) EPLA, 2007.