2003/02/28 by Changhyun Ahn, Yutaka Ookouchi · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anomaly (physics) #Black Holes and Theoretical Physics #Gauge theory #Moduli space #Orientifold #Quantum Chromodynamics and Particle Interactions #Seiberg duality #Semiclassical physics #Supersymmetric gauge theory #Supersymmetry #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/03/010
published as JHEP 0303 (2003) 010 · 55pp; two paragraphs in page 19 added to clarify the relation between confinement index and multiplication map index, refs added and to appear in JHEP; Konishi anomaly equations corrected and some comments on the degenerated cases for SO(7) and SO(8) added
openalex publication_date 2003/03/06 · arxiv created 2003/05/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 Φas 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.