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Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings

Michelle Bourdeau·Eli J. Mlawer·Harold Riggs·Howard J. Schnitzer
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Abstract

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 quasi-homogeneous part of the potential associated with Sp(N)_{K} is the same as the quasi-homogeneous part of that associated with SU(N+1)_{K}, showing that these potentials are different perturbations of the same Grassmannian potential. Twisted N=2 topological Landau-Ginzburg theories are derived from these superpotentials. The correlation functions, which are just the Sp(N)_{K} Verlinde dimensions, are expressed as fusion residues. We note that the Sp(N)_{K} and Sp(K)_{N} topological Landau-Ginzburg theories are identical, and that while the SU(N)_{K} and SU(K)_{N} topological Landau-Ginzburg models are not, they are simply related.

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Michelle Bourdeau, Eli J. Mlawer, Harold Riggs, Howard J. Schnitzer. 1991-11-08. Topological Landau-Ginzburg Matter from Sp(N)_{K} Fusion Rings. https://doi.org/10.1142/s0217732392000665

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