Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic Vacua

Details Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic Vacua Supersymmetric SO(N)/Sp(N) Gauge Theory from Matrix Model:Exact Mesonic Vacua

2003-01-04

arxiv.org/abs/hep-th/0301011v2

Phys.Lett. B560 (2003) 116-127

Physics

High Energy Physics

High Energy Physics - Theory

16 pp; to appear in PLB

Scientific paper

10.1016/S0370-2693(03)00329-0

By performing the matrix integral over the tree level superpotential of N=1 supersymmetric SO(N)/Sp(N) gauge theories obtained from N=2 SQCD by adding the mass term for the adjoint scalar field, the exact effective superpotential in terms of meson field contains the nonperturbative ADS superpotential as well as the classical tree level superpotential. By completing the meson matrix integral with the help of saddle point equation, we find the free energy contributions from matter part in terms of glueball field, the adjoint field mass and quark mass. By extremizing the effective superpotential with respect to the glueball field, we analyze the vacuum structure and describe the behavior of two limiting cases:zero limit of quark mass and infinity limit of adjoint field mass. We also study the magnetic theory.

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