E_8 orbits of IR dualities

Understand

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.