  We discuss a simple model for D-brane transport in non-abelian GLSMs. The
model is the elliptic curve version of a non-abelian GLSM introduced by Hori
and Tong and has gauge group U(2). It has two geometric phases, both of which
describe the same elliptic curve, once realised as a codimension five complete
intersection in G(2,5) and once as a determinantal variety. The determinantal
phase is strongly coupled with unbroken SU(2). There are two singular points in
the moduli space where the theory has a Coulomb branch. Using grade restriction
rules, we show how to transport B-branes between the two phases along paths
avoiding the singular points. With the help of the GLSM hemisphere partition
function we compute analytic continuation matrices and monodromy matrices,
confirming results obtained by different methods.
