  We consider compactifications of rank $Q$ E-string theory on a genus zero
surface with no punctures but with flux for various subgroups of the
$\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional
theory. We first construct a simple Wess-Zumino model in four dimensions
corresponding to the compactification on a sphere with one puncture and a
particular value of flux, the cap model. Using this theory and theories
corresponding to two punctured spheres with flux, one can obtain a large number
of models corresponding to spheres with a variety of fluxes. These models
exhibit interesting IR enhancements of global symmetry as well as duality
properties. As an example we will show that constructing sphere models
associated to specific fluxes related by an action of the Weyl group of
$\text{E}_8$ leads to the S-confinement duality of the $\text{USp}(2Q)$ gauge
theory with six fundamentals and a traceless antisymmetric field. Finally, we
show that the theories we discuss possess an $\text{SU}(2)_{\text{ISO}}$
symmetry in four dimensions that can be naturally identified with the isometry
of the two-sphere. We give evidence in favor of this identification by
computing the `t Hooft anomalies of the $\text{SU}(2)_{\text{ISO}}$ in 4d and
comparing them with the predicted anomalies from 6d.
