Non-singlet Q-deformation of the image gauge multiplet in harmonic superspace Original Research Article

We study a non-anticommutative chiral non-singlet deformation of the image Abelian gauge multiplet in Euclidean harmonic superspace with a product ansatz for the deformation matrix, image. This choice allows us to obtain in closed form the gauge transformations and the unbroken image supersymmetry transformations preserving the Wess–Zumino gauge, as well as the bosonic sector of the image invariant action. This should be contrasted with the generic choice for which the analogous results are known only to a few orders in the deformation parameters. As in the case of a singlet deformation, the bosonic action can be cast in a form where it differs from the free action merely by a scalar factor. The latter is now given by image, with image being one of two scalar fields of the image vector multiplet. We compare our results with previous studies of non-singlet deformations, including the degenerate case image which preserves the image fraction of image supersymmetry.