Flavors in the microscopic approach to N=1 gauge theories

TL;DR

This paper extends the microscopic approach to N=1 gauge theories with flavors, computing mesonic operators and confirming the Konishi anomaly equations non-perturbatively, thereby connecting to matrix model results.

Contribution

It introduces a microscopic derivation of mesonic operators and verifies the Konishi anomaly equations with flavors at the non-perturbative level.

Findings

Computed general mesonic operators in N=1 gauge theories with flavors.

Proved Konishi anomaly equations hold non-perturbatively.

Derived matrix model disk contributions from first principles.

Abstract

In this note, we solve an extended version of the N=1 super Yang-Mills theory with gauge group U(N), an adjoint chiral multiplet and Nf flavors of quarks, by using the N=1 microscopic formalism based on Nekrasov's sums over colored partitions. Our main new result is the computation of the general mesonic operators. We prove that the generalized Konishi anomaly equations with flavors are satisfied at the non-perturbative level. This yields in particular a microscopic, first principle derivation of the matrix model disk diagram contributions that must be included in the Dijkgraaf-Vafa approach.