Non - anticommutative N = 2 super - Yang - Mills theory with singlet deformation
نویسندگان
چکیده
We consider a non-anticommutative N = 2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, {θ αi , θ βj } ⋆ = −2iP ǫ αβ ǫ ij. We exploit this unique feature of the N = 2 case to construct a deformation of the rank-one super-Yang-Mills theory which preserves the full N = 2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of " heterotic special geometry " with antiholomorphic prepotential ¯ f (¯ φ) = ¯ φ 2 (1 + P ¯ φ) −2 .
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