  We study the dynamics of a Bose-Einstein condensate trapped circumferentially
on a ring, and which is governed by an interacting gauge theory. We show that
the associated density-dependent gauge potential and concomitant current
nonlinearity permits a ground state in the form of a rotating chiral bright
soliton. This chiral soliton is constrained to move in one direction by virtue
of the current nonlinearity, and represents a time crystal in the same vein as
Wilczek's original proposal.
