  We consider the three-dimensional micromagnetic model with
Dzyaloshinskii-Moriya interaction in a thin-film regime. We prove the
Gamma-convergence of the micromagnetic energy in the considered regime, for
which the Gamma-limit energy is two-dimensional and relevant for boundary
vortices. We then study local minimizers of the Gamma-limit energy and prove a
uniqueness result in a certain setting.
