In order to understand the properties of Mott insulators with strong ground
state orbital fluctuations, we study the zero temperature properties of th
e SU(4) spin-orbital model on a square lattice. Exact diagonalizations of f
inite clusters suggest that the ground state is disordered with a singlet-m
ultiplet gap and possibly low-lying SU(4) singlets in the gap. An interpret
ation in terms of plaquette SU(4) singlets is proposed. The implications fo
r LiNiO2 are discussed.