Glueball operators and the microscopic approach to N=1 gauge theories

Abstract

We explain how to generalize Nekrasov's microscopic approach to N=2 gauge theories to the N=1 case, focusing on the typical example of the U(N) theory with one adjoint chiral multiplet X and an arbitrary polynomial tree-level superpotential Tr W(X). We provide a detailed analysis of the generalized glueball operators and a non-perturbative discussion of the Dijkgraaf-Vafa matrix model and of the generalized Konishi anomaly equations. We compute in particular the non-trivial quantum corrections to the Virasoro operators and algebra that generate these equations. We have performed explicit calculations up to two instantons, that involve the next-to-leading order corrections in Nekrasov's Omega-background.

arXiv comment38 pages, 1 figure and 1 appendix included; v2: typos and the list of references corrected, version to appear in JHEP

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Cited by in corpus (5)

• Extended N=1 super Yang-Mills theory
• Consistency conditions in the chiral ring of super Yang-Mills theories
• On the Geometry of Super Yang-Mills Theories: Phases and Irreducible Polynomials
• Instanton Calculus and Loop Operator in Supersymmetric Gauge Theory
• Flavors in the microscopic approach to N=1 gauge theories