E_8 orbits of IR dualities

TL;DR

This paper explores a network of dualities in USp(2n) supersymmetric models with specific matter content, revealing connections organized by the E_8 Weyl group and uncovering new IR behaviors and infinite duals.

Contribution

It provides evidence that these models are interconnected through dualities forming E_8 Weyl group orbits and uncovers new IR fixed points with E_7 symmetry and infinite duals for certain cases.

Findings

Models are connected by dualities organized into E_8 Weyl group orbits.

A USp(2m) model with singlets flows to an E_7 U(1) symmetric CFT.

An infinite number of duals exist for the USp(2) theory with eight fundamentals.

Abstract

We discuss USp(2n) supersymmetric models with eight fundamental fields and a field in the antisymmetric representation. Turning on the most generic superpotentials, coupling pairs of fundamental fields to powers of the antisymmetric field while preserving an R symmetry, we give evidence for the statement that the models are connected by a large network of dualities which can be organized into orbits of the Weyl group of E_8. We make also several curious observations about such models. In particular, we argue that a USp(2m) model with the addition of singlet fields and even rank m flows in the IR to a CFT with E_7 U(1) symmetry. We also discuss an infinite number of duals for the USp(2) theory with eight fundamentals and no superpotential.