Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.hep-th/9908008,
title = {Three-Dimensional Gorenstein Singularities and SU(3) Modular Invariants},
author = {Jun S. Song},
journal= {arXiv preprint arXiv:hep-th/9908008},
year = {2007}
}
Comments
27 pages, 4 figures