A three-loop check of the 'a - maximization' in SQCD with adjoint(s)

TL;DR

This paper verifies the 'a - maximization' method in supersymmetric QCD with adjoint fields by performing a detailed three-loop perturbative calculation of anomalous dimensions at IR fixed points.

Contribution

It provides a three-loop perturbative check of the 'a - maximization' principle in SQCD with adjoint fields, confirming its validity.

Findings

Three-loop anomalous dimensions match predictions from 'a - maximization'

Supports the accuracy of 'a - maximization' in supersymmetric gauge theories

Enhances understanding of IR fixed points in SQCD with adjoints

Abstract

The 'a - maximization' was introduced by K. Inrtiligator and B. Wecht for finding anomalous dimensions of chiral superfields at the IR fixed points of the RG flow. Using known explicit calculations of anomalous dimensions in the perturbation theory of SQCD (with one or two additional adjoint fields), it is checked here at the three-loop level.