ON THE VACUUM OF THE PURE GAUGE FIELDS ON COSET
The topological properties of the vacuum states for the pure gauge fields on coset are studied. When the homotopy group π3(G/H) of the coset manifold is different from zero, a winding number operator can be constructed. It is possible to introduce a θc-vacuum on coset. The constrained conditions restrict the value of θc to be zero in physical states.