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… 
And Handle Squashing*
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 a polynomial in u and (∇V ) is the ideal
Topological matter, integrable models and fusion rings
Issues in topological gauge theory
On classification ofN=2 supersymmetric theories
We find a relation between the spectrum of solitons of massiveN=2 quantum field theories ind=2 and the scaling dimensions of chiral fields at the conformal point. The condition that the scaling
Boundary rings and /N=2 coset models
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
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