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arXiv · 0708.1410

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

Frank Ferrari·Stanislav Kuperstein·Vincent Wens
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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.

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Frank Ferrari, Stanislav Kuperstein, Vincent Wens. 2007-10-25. Glueball operators and the microscopic approach to N=1 gauge theories. https://doi.org/10.1088/1126-6708%2F2007%2F10%2F101

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