  We investigate a discrete non-linear Schr\"odinger equation with dynamical,
density-difference-dependent, gauge fields. We find a ground-state transition
from a plane wave condensate to a localized soliton state as the gauge coupling
is varied. Interestingly we find a regime in which the condensate and soliton
are both stable. We identify an emergent chiral symmetry, which leads to the
existence of a symmetry protected zero energy edge mode. The emergent chiral
symmetry relates low and high energy solitons. These states indicate that the
interaction acts both repulsively and attractively.
