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 language | English (US) |
|---|---|
| Pages (from-to) | 1-27 |
| Number of pages | 27 |
| Journal | Advances in Theoretical and Mathematical Physics |
| Volume | 4 |
| Issue number | 4 |
| State | Published - Jul 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Physics and Astronomy(all)