Supersymmetric SO(N_c) Gauge Theory and Matrix Model

Details Supersymmetric SO(N_c) Gauge Theory and Matrix Model Supersymmetric SO(N_c) Gauge Theory and Matrix Model

2002-12-19

arxiv.org/abs/hep-th/0212231v2

Phys.Lett. B562 (2003) 141-146

Physics

High Energy Physics

High Energy Physics - Theory

9 pp:v2 Kept N_c for gauge theory and N for matrix model and modified the measure of matrix integral with the footnote and to

Scientific paper

10.1016/S0370-2693(03)00554-9

By applying the method of Dijkgraaf-Vafa, we study matrix model related to supersymmetric SO(N_c) gauge theory with N_f flavors of quarks in the vector representation found by Intriligator-Seiberg. By performing the matrix integral over tree level superpotential characterized by light meson fields (mass deformation) in electric theory, we reproduce the exact effective superpotential in the gauge theory side. Moreover, we do similar analysis in magnetic theory. It turns out the matrix descriptions of both electric and magnetic theories are the same: Seiberg duality in the gauge theory side.

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