Harmonicity in image supersymmetry and its quantum anomaly Original Research Article

The holomorphicity property of image superpotentials or of image F-terms involving vector multiplets is generalized to the case of image 1/2-BPS effective operators defined in harmonic superspace. The resulting harmonicity equations are shown to control the moduli dependence of the couplings of higher-dimensional operators involving powers of the image Weyl superfield, computed by image topological amplitudes. These equations can also be derived on the string side, exhibiting an anomaly from world-sheet boundary contributions that leads to recursion relations for the non-analytic part of the couplings.