N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model

Abstract

We use the matrix model to describe the N=2 SO(N)/Sp(N) supersymmetric gauge theories with massive hypermultiplets in the fundamental representation. By taking the tree level superpotential perturbation made of a polynomial of a scalar chiral multiplet, the effective action for the eigenvalues of chiral multiplet can be obtained. By varying this action with respect to an eigenvalue, a loop equation is obtained. By analyzing this equation, we derive the Seiberg-Witten curve within the context of matrix model.

14pp;v2 refs added, clarified in page 4, 6 and 11 and the sign of resolvent corrected;v3 improved in page 5 and 6 and the flavor dependent part in the integration around P added and to appear in PRD

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Cited by in corpus (6)

• Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
• Phases of N=1 SO(N_c) Gauge Theories with Flavors
• The Proof of the Dijkgraaf-Vafa Conjecture and application to the mass gap and confinement problems
• Improved matrix-model calculation of the N=2 prepotential
• More on N=1 Matrix Model Curve for Arbitrary N
• {\cal N}=2 SO(N) SYM theory from Matrix Model