Matrix model, Kutasov duality and Factorization of Seiberg-Witten Curves

TL;DR

This paper investigates the duality in  gauge theories with massless adjoint fields and massive quarks, using matrix models and Kutasov duality, revealing the role of masslessness in instanton contributions.

Contribution

It demonstrates that the matrix model approach confirms the absence of a one-instanton term in the superpotential, linking this to the masslessness of the adjoint field.

Findings

Matrix model confirms the absence of the one-instanton term.

The absence of the instanton term is related to the massless adjoint.

Comparison between matrix model and Kutasov duality results shows consistency.

Abstract

We study the duality of $\mathcal{N}=1$ gauge theories in the presence of a massless adjoint field and massive quarks by calculating the superpotential using the Dighkgraaf-Vafa matrix model and by comparing with the previous result coming from Kutasov duality. The Kutasov duality method gives a result in which one instanton term is absent. The matrix model method confirms it and also show that the absence of the one instanton term is related to the masslessness of the adjoint field.