Fusion potentials I

Abstract

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.

17 pages, Saclay preprint SPhT 92/138

References in corpus (3)

• Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings
• Symplectic fusion rings and their metric
• Towards a Classification of Fusion Rule Algebras in Rational Conformal Field Theories

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• Symmetric boundary conditions in boundary critical phenomena
• Polynomial Fusion Rings of Logarithmic Minimal Models
• On fusion algebra of chiral $SU(N{)}_k$ models
• Polynomial rings of the chiral $SU(N{)}_2$ models