Supersymmetric Hubbard operators - art. no. 140411

We develop a supersymmetric representation of the Hubbard operator which un ifies the slave boson and slave fermion representations into a single U(1)x SU(1/1) gauge theory, a group with larger symmetry than the product of two U(1) gauge groups. These representations of the Hubbard operator can be use d to incorporate strong Hund's interactions in multielectron atoms as a con straint. We show how this method can be combined with the SP(N) group to yi eld a locally supersymmetric large-N formulation of the t-J model.