Exact Mesonic Vacua From Matrix Models

Abstract

We investigate in detail the structure of mesonic vacua of N=1 U(Nc) supersymmetric gauge theory with Nf flavors from the matrix model. We show that the Witten index from the matrix model calculation agrees with a result from field theoretical analysis. We also discuss the relationship between a diagrammatic summation and direct matrix integration with insertion of a variable changing delta function. Using this formalism, we obtain the quantum moduli space and evidence of the Seiberg duality from the matrix models.

14 pages, 1 figure, typos corrected and note on the quamtum moduli space added

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Cited by in corpus (15)

• Chiral Rings and Phases of Supersymmetric Gauge Theories
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• Super Yang-Mills With Flavors From Large N_f Matrix Models
• Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
• On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
• Note on Matrix Model with Massless Flavors
• Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model
• Generalized Yukawa couplings and Matrix Models
• Matrix Model Description of Baryonic Deformations
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• D-brane realizations of runaway behavior and moduli stabilization
• N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
• Note on Seiberg Duality in Matrix Model
• Effective Gauge Degrees of Freedom and the (Non)existence of the Glueball Superpotential
• Matrix Models, Monopoles and Modified Moduli