L. Amico et al., ONE-DIMENSIONAL XXZ MODEL FOR PARTICLES OBEYING FRACTIONAL STATISTICS, Physical review. B, Condensed matter, 58(4), 1998, pp. 1703-1706
We define one-dimensional particles as non-Abelian representations of
the symmetric group SN. The exact solution of an XXZ type Hamiltonian
built up with such particles is achieved using the coordinate Bethe an
satz. The Bethe equations show that fractional statistics effectively
account for coupling an external gauge field to an integer statistics'
system.