Exceptionally simple exceptional models

Understand

We discuss models with no dynamical vector fields in various dimensions which we claim might have exceptional symmetry on some loci of their parameter space.

• In particular we construct theories with four supercharges flowing to theories with global symmetry enhancing to $F_4$, $E_6$, and $E_7$.
• The main evidence for these claims is based on extracting information about the symmetry properties of the theories from their supersymmetric partition functions.