Generalized Fusion Potentials

Abstract

Recently, DiFrancesco and Zuber have characterized the RCFTs which have a description in terms of a fusion potential in one variable, and proposed a generalized potential to describe other theories. In this note we give a simple criterion to determine when such a generalized description is possible. We also determine which RCFTs can be described by a fusion potential in more than one variable, finding that in fact all RCFTs can be described in such a way, as conjectured by Gepner.

TAUP-2029-93, 16 pages of plain Tex. (Added a reference)

References in corpus (2)

• Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings
• Symplectic fusion rings and their metric

Cited by in corpus (8)

• Fusion rules in conformal field theory
• Fusion Rings of Loop Group Representations
• Polynomial fusion rings of W-extended logarithmic minimal models
• Presentations of Wess-Zumino-Witten Fusion Rings
• Fusion of irreducible modules in WLM(p,p')
• Integrable N = 2 Landau-Ginzburg Theories from Quotients of Fusion Rings
• Polynomial Fusion Rings of Logarithmic Minimal Models
• Polynomial rings of the chiral $SU(N{)}_2$ models