%0 Journal Article
%T Invariants of the $1/r^2$ Supersymmetric t-J Models
%A D. F. Wang
%A C. Gruber
%J Physics
%D 1993
%I arXiv
%R 10.1103/PhysRevB.49.15712
%X In this work, we have studied the invariants of motion of two SU(N) supersymmetric t-J model of $1/r^2$ hopping and exchange in one dimension. The first model is defined on a lattice of equal spaced sites, and the second on a non-equal spacing lattice. Using the ``exchange operator formalism'', we are able to construct all the invariants for the models, by mapping the systems to mixtures of fermions and bosons. This identification shows that the supersymmetric t-J model on the chain with equal-spaced sites also belongs to Shastry-Sutherland's ``Super-Lax-Pair'' family. (IPT-EPFL 31/10/1993).
%U http://arxiv.org/abs/cond-mat/9311041v1