Year: 2008
Type: article
Abstract: We use F. Ferrari's methods relating matrix models to Calabi-Yau spaces in order to explain much of Intriligator and Wecht's ADE classification of N = 1 superconformal theories which arise as RG fixed points of N = 1 SQCD theories with adjoints.We find that ADE superpotentials in the Intriligator-Wecht classification exactly match matrix model superpotentials obtained from Calabi-Yau with corresponding ADE singularities.Moreover, in the additional O, A, D and E cases we find new singular geometries.These "hat" geometries are closely related to their ADE counterparts, but feature non-isolated singularities.As a byproduct, we give simple descriptions for small resolutions of Gorenstein threefold singularities in terms of transition functions between just two co-ordinate charts.To obtain these results we develop an algorithm for blowing down exceptional P 1 , described in the appendix.
Author: Carina Curto
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W2048106362