Exceptional and Spinorial Conformal Windows

TL;DR

This paper explores the conformal windows of gauge theories with fermions in various representations for exceptional and orthogonal groups using perturbative and non-perturbative methods.

Contribution

It provides a comprehensive analysis of the conformal window for exceptional and orthogonal gauge groups with fermions in fundamental, adjoint, and spinorial representations.

Findings

Identifies the conformal window boundaries for different gauge groups and representations.

Compares results from four-loop perturbation theory, all-orders beta function, and ladder approximation.

Offers insights into the phase structure of these gauge theories.

Abstract

We study the conformal window of gauge theories containing fermionic matter fields, where the gauge group is any of the exceptional groups with the fermions transforming according to the fundamental and adjoint representations and the orthogonal groups where the fermions transform according to a spinorial representation. We investigate the phase diagram using a purely perturbative four loop analysis, the all-orders beta function and the ladder approximation.