Algebraic properties of the Bethe ansatz for an spl (2, 1)-supersymmetric t− J model
A Foerster, M Karowski - Nuclear Physics B, 1993 - Elsevier
A Foerster, M Karowski
Nuclear Physics B, 1993•ElsevierWe investigate the algebraic structure of the supersymmetric t− J model in one dimension.
We prove that the Bethe ansatz states are highest-weight vectors of an spl (2, 1)
superalgebra. By acting with shift operators we construct a complete set of states for this
model. In addition we analyse the multiplet structure of the anti-ferromagnetic ground state
and some low-lying excitations. It turns out that the ground state is a member of a quartet.
We prove that the Bethe ansatz states are highest-weight vectors of an spl (2, 1)
superalgebra. By acting with shift operators we construct a complete set of states for this
model. In addition we analyse the multiplet structure of the anti-ferromagnetic ground state
and some low-lying excitations. It turns out that the ground state is a member of a quartet.
Abstract
We investigate the algebraic structure of the supersymmetric t−J model in one dimension. We prove that the Bethe ansatz states are highest-weight vectors of an spl(2,1) superalgebra. By acting with shift operators we construct a complete set of states for this model. In addition we analyse the multiplet structure of the anti-ferromagnetic ground state and some low-lying excitations. It turns out that the ground state is a member of a quartet.
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