More on N = 1 self-dualities and exceptional gauge groups

Starting from a generalization of a recent result on self-duality [C. Csáki, M. Schmaltz, W. Skiba and J. Terning, hep-th/9701191], we systematically analyze self-dual models. We find a criterion to judge whether a given model is self-dual or not. With this tool we construct some new self-dual pairs, focussing on examples with exceptional gauge groups.