  A novel approach to S =1/2 antiferromagnets with strong fluctuations based on
the representation of spin-1/2 operators as bylinear forms of real (Majorana)
fermions is suggested. This representation has the advantage of being
irreducible without any constraints on the fermionic Hilbert space. This
property allows to derive an effective Hamiltonian for low-lying excitations in
the spin liquid state. It is proven that these excitations are S = 1 real
fermions.
