  We study the field theory localizing to holomorphic maps from a complex
manifold of complex dimension 2 to a toric target (a generalization of A
model). Fields are realized as maps to $(\mathbb{C}^*)^N$ where one includes
special observables supported on (1,1)-dimensional submanifolds to produce maps
to the toric compactification. We study the mirror of this model. It turns out
to be a free theory interacting with $N_\mathrm{comp}$ topological strings of
type A. Here $N_\mathrm{comp}$ is the number of compactifying divisors of the
toric target. Before the mirror transformation these strings are vortex
(actually, holomortex) strings.
