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

1999/08/02 by Jun S. Song
Physics and Astronomy · #hep-th

paper · pdf

published as Adv.Theor.Math.Phys. 4 (2000) 791-822 · 27 pages, 4 figures

arxiv created 1999/08/02 · arxiv updated 2009/11/30

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 C³/Z_n+3xZ_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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