Three-dimensional Gorenstein singularities and SU(3) modular invariants

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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 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) × U(1) Kazama-Suzuki model may be related to a deformed geometry of C3/Z{double-struck}n+3 × Z{double-struck}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.

Original languageEnglish (US)
Pages (from-to)1-27
Number of pages27
JournalAdvances in Theoretical and Mathematical Physics
Volume4
Issue number4
StatePublished - Jul 1 2000
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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