THE LINEARIZED HUBBARD MODEL: DYNAMICAL SUPERALGEBRA AND SUPERSYMMETRY

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Abstract
The dynamical superalgebras for the conventional Hubbard model and for its extension to a superlattice given by the union of two sublattices are considered. Self consistency equations are obtained for the relevant order parameters. Moreover the models are shown to be the linearized form of a class of supersymmetric models obtained from charges living in the fermionic sector of these superalgebras. The superconductive phase transition exhibited by these models is accounted for as a spontaneous breaking of supersymmetry.

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