Abstract :
We propose actions for non-linear sigma models on cosets GH in 2+1 dimensions that include the most general non-linear realizations of Chern-Simons terms. When G is simply connected and H contains r commuting U(1) factors, there are r different topologically conserved charges and generically r different types of topological solitons. Soliton spin fractionalizes as a function of the Chern-Simons couplings, with independent spins associated to each species of soliton charge, as well as to pairs of different charges. This model of soliton spin fractionalization generalizes to arbitrary GH a model of Wilczek and Zee for one type of soliton.
