N=1 Gauge Theory with Flavor from Fluxes

Abstract

Cachazo and Vafa studied $\mathcal{N}=1$ dynamics of U(N) gauge theory from a viewpoint of type IIB superstring compactified on a Calabi-Yau manifold with fluxes. They proved the equivalence between the dynamics and that of $\mathcal{N}=2$ supersymmetric U(N) gauge theory deformed by certain superpotential terms. We generalize their results to gauge theories with massive flavors in fundamental representation for classical gauge groups. When the additional tree level superpotential takes the form of the square of an adjoint chiral superfield we derive Affleck-Dine-Seiberg potentials. By turning off the flux, we obtain the Seiberg-Witten curves of $\mathcal{N}=2$ gauge theories.

16 pages, no figure, v4: presentations and typos corrected. many thanks to the referee

References in corpus (5)

• On Geometry and Matrix Models
• Exact Superpotentials for Theories with Flavors via a Matrix Integral
• Exact superpotentials in N=1 theories with flavor and their matrix model formulation
• Perturbative Derivation of Exact Superpotential for Meson Fields from Matrix Theories with One Flavour
• Adding flavor to Dijkgraaf-Vafa

Cited by in corpus (13)

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• Light Nonabelian Monopoles and Generalized r-Vacua in Supersymmetric Gauge Theories
• The Holomorphic Tension of Nonabelian Vortices
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• Classical Spin Chains and Exact Three-dimensional Superpotentials
• On Confinement Index
• More on N=1 Matrix Model Curve for Arbitrary N
• On {\cal N}=1 exact superpotentials from U(N) matrix models
• Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
• Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter