Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model

Abstract

We construct the Drinfeld twists (factorizing $F$-matrices) for the supersymmetric t-J model. Working in the basis provided by the $F$-matrix (i.e. the so-called $F$-basis), we obtain completely symmetric representations of the monodromy matrix and the pseudo-particle creation operators of the model. These enable us to resolve the hierarchy of the nested Bethe vectors for the $gl(2|1)$ invariant t-J model.

arXiv comment23 pages, no figure, Latex file, minor misprints are corrected

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• Solution of the quantum inverse problem
• Spontaneous magnetization of the XXZ Heisenberg spin-1/2 chain
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Cited by in corpus (13)

• Determinant Representations of Correlation Functions for the Supersymmetric t-J Model
• Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with $U_q(gl(m|n))$
• Drinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Bethe Ansatz, Quantum Circuits, and the F-basis
• The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models
• The monodromy matrix in the F-basis for arbitrary six-vertex models
• A convenient basis for the Izergin-Korepin model
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms