Exceptional $\mathcal N=3$ theories

TL;DR

This paper introduces a novel construction of four-dimensional $ =3$ supersymmetric theories using M5 branes in an M-theory U-fold background, extending previous class $ ext{S}$ methods and incorporating discrete symmetries.

Contribution

The authors develop a new framework for constructing exceptional $ =3$ theories via M5 branes on $T^2$ in U-fold backgrounds, generalizing class $ ext{S}$ techniques with additional discrete symmetries.

Findings

Constructed new $ =3$ theories using M5 branes in U-fold backgrounds.

Extended class $ ext{S}$ construction to include $ =3$ theories.

Connected $ =3$ theories to $(0,2)$ $E$-type 6D SCFTs.

Abstract

We present a new construction of four dimensional $\mathcal N=3$ theories, given by M5 branes wrapping a $T^2$ in an M-theory U-fold background. The resulting setup generalizes the one used in the usual class $\mathcal S$ construction of four dimensional theories by using an extra discrete symmetry on the M5 worldvolume. Together with the M-theory U-fold description of $(0,2)$ $E$-type six-dimensional SCFTs, this allows to construct new, exceptional, $\mathcal N=3$ theories.