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arXiv · hep-th/9908008

Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants

Jun S. Song
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Abstract

Using N=2 Landau-Ginzburg theories, we examine the recent conjectures relating the SU(3) WZW modular invariants, finite subgroups of SU(3) and Gorenstein singularities. All isolated three-dimensional Gorenstein singularities do not appear to be related to any known Landau-Ginzburg theories, but we present some curious observations which suggest that the SU(3)_n/SU(2)xU(1) Kazama-Suzuki model may be related to a deformed geometry of C^3/Z_{n+3}xZ_{n+3}. The toric resolution diagrams of those particular singularities are also seen to be classifying the diagonal modular invariants of the SU(3)_n as well as the SU(2)_{n+1} WZW models.

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Jun S. Song. 1999-08-02. Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants. https://arxiv.org/abs/hep-th/9908008

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