Comments on Effective Superpotentials via Matrix Models
High Energy Physics - Theory
2010-12-03 v2
Abstract
Dijkgraaf and Vafa have conjectured that the effective superpotentials for N=1 four-dimensional supersymmetric gauge theories can be given by the planar diagrams of matrix models. We examine some special models with cubic and quartic tree level superpotentials for adjoint chiral superfield \Phi. We consider the effective superpotentials for the classical vacuum \Phi=0 for U(N) and SO(N)/Sp(N) gauge theories. We evaluate the effective superpotentials exactly in terms of the matrix model and in terms of closed string theory on Calabi-Yau geometry with fluxes. As a result we find their perfect agreements.
Cite
@article{arxiv.hep-th/0210148,
title = {Comments on Effective Superpotentials via Matrix Models},
author = {Hiroyuki Fuji and Yutaka Ookouchi},
journal= {arXiv preprint arXiv:hep-th/0210148},
year = {2010}
}
Comments
18 pages, 1 figure, LaTeX; v2: minor corrections and references added