Matrix Models, Monopoles and Modified Moduli

Abstract

Motivated by the Dijkgraaf-Vafa correspondence, we consider the matrix model duals of N=1 supersymmetric SU(Nc) gauge theories with Nf flavors. We demonstrate via the matrix model solutions a relation between vacua of theories with different numbers of colors and flavors. This relation is due to an N=2 nonrenormalization theorem which is inherited by these N=1 theories. Specializing to the case Nf=Nc, the simplest theory containing baryons, we demonstrate that the explicit matrix model predictions for the locations on the Coulomb branch at which monopoles condense are consistent with the quantum modified constraints on the moduli in the theory. The matrix model solutions include the case that baryons obtain vacuum expectation values. In specific cases we check explicitly that these results are also consistent with the factorization of corresponding Seiberg-Witten curves. Certain results are easily understood in terms of M5-brane constructions of these gauge theories.

27 pages, LaTeX, 2 figures

References in corpus (25)

• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• A Perturbative Window into Non-Perturbative Physics
• Perturbative Computation of Glueball Superpotentials
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
• Chiral Rings and Phases of Supersymmetric Gauge Theories
• Exact Superpotentials for Theories with Flavors via a Matrix Integral
• Effective matter superpotentials from Wishart random matrices
• Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
• On the Matter of the Dijkgraaf--Vafa Conjecture
• Baryons, Boundaries and Matrix Models
• Adding flavor to Dijkgraaf-Vafa
• Phases of N=1 Supersymmetric Gauge Theories with Flavors
• Multi-Trace Superpotentials vs. Matrix Models
• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
• Exact Mesonic Vacua From Matrix Models
• Note on Matrix Model with Massless Flavors
• Geometric Dual and Matrix Theory for $SO/Sp$ Gauge Theories
• Affleck-Dine-Seiberg from Seiberg-Witten
• New Results from Glueball Superpotentials and Matrix Models: the Leigh-Strassler Deformation
• Explicit factorization of Seiberg-Witten curves with matter from random matrix models
• Supersymmetric SO(N_c) Gauge Theory and Matrix Model
• Note on Seiberg Duality in Matrix Model
• {\cal N}=2 SO(N) SYM theory from Matrix Model
• Matrix model, Kutasov duality and Factorization of Seiberg-Witten Curves
• The Dijkgraaf-Vafa correspondence for theories with fundamental matter fields

Cited by in corpus (4)

• Supersymmetric Gauge Theories with Flavors and Matrix Models
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• Viability of nonminimally coupled f (R) gravity
• Confinement and duality in supersymmetric gauge theories