Skyrmions in the gauged Sigma model of chiral magnets

We characterise skyrmions in Bogomolny models of chiral magnets without axisymetry. We show a duality between these Bogomolny models and the specific Bogomolny model wherein the so-called DMI tensor is rank one. The potential in these models have two separate minimums and corresponding stationary vacuums. Exact solutions with skyrmions are built around a domain wall which separates these vacuums. The domain walls themselves can be characterised by a position and an angle.