Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants
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/Zn+3xZn+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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.