ar X iv : h ep - t h / 05 12 27 5 v 1 2 1 D ec 2 00 5 Non - singlet Q - deformations of N = 2 gauge theories ∗

نویسندگان

  • A. De Castro
  • E. Ivanov
  • O. Lechtenfeld
  • L. Quevedo
چکیده

We study a non-anticommutative chiral non-singlet deformation of the N =(1, 1) abelian gauge multiplet in Euclidean harmonic superspace. We present a closed form of the gauge transformations and the unbroken N =(1, 0) supersymmetry transformations preserving the Wess-Zumino gauge, as well as the bosonic sector of the N =(1, 0) invariant action. This contribution is a summary of our main results in hep-th/0510013. Extensions of gauge theories to non-commutative and non-(anti)commutative superspaces are currently of remarkable interest within the high energy physics community, mainly due to their relevance to subjects like string theory (see for example [2, 3] and references therein). Here we focus in a subclass of non-(anti)commutative Euclidean supersymmet-ric field theories called Q-deformed, realized via a Weyl-Moyal product with a bilinear nilpotent Poisson operator, which is constructed in terms of the supercharges,

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تاریخ انتشار 2005