Phases of N = 1 supersymmetric SO/Sp gauge theories via matrix model

Changhyun Ahn, Yutaka Ookouchi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

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 Φ 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.

Original languageEnglish
Pages (from-to)169-223
Number of pages55
JournalJournal of High Energy Physics
Volume7
Issue number3
Publication statusPublished - Mar 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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