Fusion Residues

@inproceedings{Intriligator1991FusionR,
  title={Fusion Residues},
  author={Kenneth Intriligator},
  year={1991}
}
We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian superpotentials. The topological LG residues in one perturbation, introduced by Gepner, are shown to be a twisted version of the SU (N) k Verlinde dimensions. The residues in the… 
Fusion potentials for Gk and handle squashing
Abstract Using Chern-Simons gauge theory, we show that the fusion ring of the conformal field theory Gk (G any Lie algebra) is isomorphic to P[u]/(▿V) where (▿V) is the ideal generated by conditions
And Handle Squashing*
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TOPOLOGICAL LANDAU-GINZBURG MATTER FROM SP(N)K FUSION RINGS
We find and analyze the Landau-Ginzburg potentials whose critical points determine chiral rings which are exactly the fusion rings of SP(N)K WZW models. The quasihomogeneous part of the potential
Generalized Drinfel'd-Sokolov hierarchies, quantum rings, and W-gravity
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