%0 Journal Article %T Fusion potentials I %A P. Di Francesco %A J. -B. Zuber %J Physics %D 1992 %I arXiv %R 10.1088/0305-4470/26/6/025 %X We reconsider the conjecture by Gepner that the fusion ring of a rational conformal field theory is isomorphic to a ring of polynomials in $n$ variables quotiented by an ideal of constraints that derive from a potential. We show that in a variety of cases, this is indeed true with {\it one-variable} polynomials. %U http://arxiv.org/abs/hep-th/9211138v1