Correlation functions in the twisted N = 4 model Original Research Article

We discuss the possible existing correlation functions in the N = 4 topological model. Due to the distinguished feature that no anomaly exists in N = 4 supersymmetric theories, the positive-negative ghost number balance has to be taken into account while considering the correlation functions. On restriction to Kähler manifolds we may find a perturbative mass term which breaks the N = 4 supersymmetry down to N = 1. In all of these, a ghost number duality plays an important role. Moreover, to get a computable generating functional, the existence of a proper vanishing theorem is required.