  We study the equivariant disc potentials for immersed SYZ fibers in toric
Calabi-Yau manifolds. The immersed Lagrangians play a crucial role in the
partial compactification of the SYZ mirrors. Morever, their equivariant disc
potentials have a close relation with that of Aganagic-Vafa branes. We show
that the potentials can be computed by using an equivariant version of
isomorphisms in the Fukaya category.
