Conformal Windows of SP(2N) and SO(N) Gauge Theories

TL;DR

This paper investigates the conformal windows of SO(N) and Sp(2N) gauge theories using various analytic methods, revealing a universal pattern across different gauge groups and proposing tests for their validity.

Contribution

It provides a comprehensive analysis of conformal windows in SO(N) and Sp(2N) gauge theories and introduces a test to validate the analytic methods used.

Findings

Universal conformal window patterns across SU, Sp, and SO gauge theories

Comparison of analytic methods for constraining conformal windows

Proposed test for validating the analytic approaches

Abstract

We study the nonperturbative dynamics of nonsupersymmetric asymptotically free gauge theories with fermionic matter in distinct representations of the SO(N) and Sp(2N) gauge groups. We use different analytic methods to unveil the associated conformal windows for the relevant matter representations. We propose a direct test for confronting and establishing the validity of the analytic methods used to constrain the conformal windows. By comparing the resulting windows for SU, Sp and SO a pleasing universal picture emerges.