Matrix Model and beta-deformed N=4 SYM

TL;DR

This paper extends the matrix model approach to compute the holomorphic superpotential of beta-deformed N=4 super Yang-Mills theory, including cases with mass terms and spontaneous symmetry breaking.

Contribution

It develops new formulae for the superpotential applicable to a broader range of scenarios, including spontaneously broken gauge symmetry, building on Ken Yoshida's ideas.

Findings

Formulas agree with existing results where available

Applicable to massless and massive cases

Valid in scenarios with broken gauge symmetry

Abstract

This work is the result of the ideas developed by Ken Yoshida about the possibility of extending the range of applications of the matrix model approach to the computation of the holomorphic superpotential of the beta-deformed N=4 super Yang-Mills theory both in the presence of a mass term and in the massless limit. Our formulae, while agreeing with all the existing results we can compare with, are valid also in the case of spontaneously broken gauge symmetry. We dedicate this paper to the memory of Ken, an unforgettable friend for all of us and a great scientist.