Comments on Effective Superpotentials via Matrix Models

Details Comments on Effective Superpotentials via Matrix Models Comments on Effective Superpotentials via Matrix Models

2002-10-16

arxiv.org/abs/hep-th/0210148v2

JHEP 0212:067,2002

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure, LaTeX; v2: minor corrections and references added

Scientific paper

10.1088/1126-6708/2002/12/067

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.

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