  We perform some systematic numerical search for Schwinger boson mean field
states on square and triangular lattice clusters. We look for possible
inhomogeneous ground states as well as low-energy excited saddle points. The
spectrum of the Hessian is also computed for each solution. On the square
lattice we find gapless U(1) gauge modes in the non-magnetic phase. In the Z_2
liquid phase of the triangular lattice we identify the topological degeneracy
as well as vison states.
