Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model

Details Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model

2003-02-19

arxiv.org/abs/hep-th/0302150v3

JHEP 0303 (2003) 010

Physics

High Energy Physics

High Energy Physics - Theory

55pp; two paragraphs in page 19 added to clarify the relation between confinement index and multiplication map index, refs add

Scientific paper

10.1088/1126-6708/2003/03/010

We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the superpotential which is an arbitrary polynomial of adjoint matter \Phi as a small perturbation of N=2 gauge theories, we examine the singular points preserving N=1 supersymmetry in the moduli space where mutually local monopoles become massless. We derive the matrix model complex curve for the whole range of the degree of perturbed superpotential. Then we determine a generalized Konishi anomaly equation implying the orientifold contribution. We turn to the multiplication map and the confinement index K and describe both Coulomb branch and confining branch. In particular, we construct a multiplication map from SO(2N+1) to SO(2KN-K+2) where K is an even integer as well as a multiplication map from SO(2N) to SO(2KN-2K+2) (K is a positive integer), a map from SO(2N+1) to SO(2KN-K+2) (K is an odd integer) and a map from Sp(2N) to Sp(2KN+2K-2). Finally we analyze some examples which show some duality: the same moduli space has two different semiclassical limits corresponding to distinct gauge groups.

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