Chiral field theories, Konishi anomalies and matrix models

Abstract

We study a chiral N=1, U(N) field theory in the context of the Dijkgraaf-Vafa correspondence. Our model contains one adjoint, one conjugate symmetric and one antisymmetric chiral multiplet, as well as eight fundamentals. We compute the generalized Konishi anomalies and compare the chiral ring relations they induce with the loop equations of the (intrinsically holomorphic) matrix model defined by the tree-level superpotential of the field theory. Surprisingly, we find that the matrix model is well-defined only if the number of flavors equals two! Despite this mismatch, we show that the 1/N expansion of the loop equations agrees with the generalized Konishi constraints. This indicates that the matrix model - gauge theory correspondence should generally be modified when applied to theories with net chirality. We also show that this chiral theory produces the same gaugino superpotential as a nonchiral SO(N) model with a single symmetric multiplet and a polynomial superpotential.

43 pages

References in corpus (31)

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Cited by in corpus (12)

• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• In the Realm of the Geometric Transitions
• Metastable Vacua, Geometrical Engineering and MQCD Transitions
• Metastable Vacua and Complex Deformations
• Chiral field theories from conifolds
• Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
• Puzzles for Matrix Models of Chiral Field Theories
• An Exact Relation for N=1 Orientifold Field Theories with Arbitrary Superpotential
• SQCD Vacua and Geometrical Engineering
• Konishi Anomalies and Curves without Adjoints
• Unitary Matrix Model of a Chiral [SU(N)]^K Gauge Theory
• Effective SO Superpotential for N=1 Theory with N_f Fundamental Matter