Rank $Q$ E-string on a torus with flux

Understand

We discuss compactifications of rank $Q$ E-string theory on a torus with fluxes for abelian subgroups of the $E_8$ global symmetry of the $6d$ SCFT.

• We argue that the theories corresponding to such tori are built from a simple model we denote as $E[USp(2Q)]$.
• This model has a variety of non trivial properties.
• In particular the global symmetry is $USp(2Q)\times USp(2Q)\times U(1)^2$ with one of the two $USp(2Q)$ symmetries emerging in the IR as an enhancement of an $SU(2)^Q$ symmetry of the UV Lagrangian.