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Invariants of the $1/r^2$ Supersymmetric t-J Models

D. F. Wang·C. Gruber
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Abstract

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).

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D. F. Wang, C. Gruber. 1993-11-17. Invariants of the $1/r^2$ Supersymmetric t-J Models. https://doi.org/10.1103/physrevb.49.15712

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