Script N=2 SO(N) SYM theory from matrix model

We study {\cal N}=2 SO(2N+1) SYM theory in the context of matrix model. Byadding a superpotential of the scalar multiplet, W(\Phi), of degree 2N+2, wereduce the theory to {\cal N}=1. The 2N+1 distinct critical points of W(\Phi)allow us to choose a vacuum in such a way to break the gauge group to itsmaximal abelian subgroup. We compute the free energy of the correspondingmatrix model in the planar limit and up to two vertices. This result is thenused to work out the effective superpotential of {\cal N}=1 theory up toone-instanton correction. At the final step, by scaling the superpotential tozero, the effective U(1) couplings and the prepotential of the {\cal N}=2theory are calculated which agree with the previous results.Comment: latex, 2 figures, 22 pages, v2: minor modifications, references adde