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

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

1991-11-08

arxiv.org/abs/hep-th/9111020v1

Mod.Phys.Lett. A7 (1992) 689-700

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1142/S0217732392000665

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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