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

par Ferrari, Frank ;Kuperstein, Stanislav ;Wens, Vincent
Référence Journal of High Energy Physics, 10, page (101)
Publication Publié, 2007-10-30

Article révisé par les pairs

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Résumé :

We explain how to generalize Nekrasov's microscopic approach to = 2 gauge theories to the = 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 Ω-background. © SISSA 2007.