Non-anticommutative deformation of image hypermultiplets Original Research Article

We study the image invariant and image supersymmetry-preserving nilpotent (non-anticommutative) Moyal deformation of hypermultiplets interacting with an Abelian gauge multiplet, starting from their off-shell formulation in Euclidean image harmonic superspace. The deformed version of a neutral or a charged hypermultiplet corresponds to the ‘adjoint’ or the ‘fundamental’ representation of the deformed image gauge group on the superfields involved. The neutral hypermultiplet action is invariant under image supersymmetry and describes a deformed image gauge theory. For both the neutral and the charged hypermultiplet we present the corresponding component actions and explicitly give the Seiberg–Witten-type transformations to the undeformed component fields. Mass terms and scalar potentials for the hypermultiplets can be generated via the Scherk–Schwarz mechanism and Fayet–Iliopoulos term in analogy to the undeformed case.