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

Frank Ferrari, Stanislav Kuperstein and Vincent Wens

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We explain how to generalize Nekrasov's microscopic approach to Script N = 2 gauge theories to the Script 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 Ω-background.

Keywords

Nonperturbative Effects

Duality in Gauge Field Theories

Supersymmetric gauge theory

Gauge-gravity correspondence

 

E-print Number: 0708.1410

Cited: by |

Refers: to

PACS

11.15.Tk Other nonperturbative techniques

02.30.Tb Operator theory

11.30.Rd Chiral symmetries

02.10.Ud Linear algebra

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 10 (October 2007)

Received 5 September 2007, accepted for publication 18 October 2007

Published 30 October 2007



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