  We consider a two-component Bose-Bose mixture at strong repulsive
interactions in a tightly confining, one-dimensional ring trap and subjected to
an artificial gauge field. By employing the Bethe Ansatz exact solution for the
many-body wavefunction, we obtain the ground state energy and the persistent
currents. For each value of the applied flux, we then determine the symmetry of
the state under particles exchange. We find that the ground-state energy and
the persistent currents display a reduced periodicity with respect to the case
of non-interacting particles, corresponding to reaching states with fractional
angular momentum per particle. We relate this effect to the change of symmetry
of the ground state under the effect of the artificial gauge field. Our results
generalize the ones previously reported for fermionic mixtures with both
attractive and repulsive interactions and highlight the role of symmetry in
this effect
