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.
Keywords
Cite
@article{arxiv.0708.1410,
title = {Glueball operators and the microscopic approach to N=1 gauge theories},
author = {Frank Ferrari and Stanislav Kuperstein and Vincent Wens},
journal= {arXiv preprint arXiv:0708.1410},
year = {2009}
}
Comments
38 pages, 1 figure and 1 appendix included; v2: typos and the list of references corrected, version to appear in JHEP