Exceptionally simple exceptional models

TL;DR

This paper explores models lacking dynamical vector fields that may exhibit exceptional symmetries like F4, E6, and E7 at specific parameter points, supported by supersymmetric partition function analysis.

Contribution

It constructs theories with four supercharges that demonstrate symmetry enhancement to exceptional groups, providing evidence through supersymmetric partition functions.

Findings

Models with no dynamical vectors can have exceptional symmetry enhancements.

Supersymmetric partition functions reveal symmetry properties of these theories.

Theories flow to symmetry-enhanced fixed points with exceptional groups.

Abstract

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.