Non-anticommutative chiral singlet deformation of image gauge theory Original Research Article

We study the image invariant Q-deformation of Euclidean image gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks image to image supersymmetry. The action of the deformed gauge theory is an integral over the chiral superspace, and only the purely chiral part of the covariant superfield strength contributes to it. We give the component form of the image supersymmetric action for the gauge groups U(1) and image. In the U(1) and U(2) cases, we find the explicit nonlinear field redefinition (Seiberg–Witten map) relating the deformed image gauge multiplet to the undeformed one. This map exists in the general image case as well, and we use this fact to argue that the deformed image gauge theory can be nonlinearly reduced to a theory with the gauge group image.