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

Physics – High Energy Physics – High Energy Physics - Theory

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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 flav

Scientific paper

10.1103/PhysRevD.67.105022

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.

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