Drinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models

Abstract

We construct the Drinfeld twists (factorizing $F$-matrices) of the $gl(m|n)$-invariant fermion model. Completely symmetric representation of the pseudo-particle creation operators of the model are obtained in the basis provided by the $F$-matrix (the $F$-basis). We resolve the hierarchy of the nested Bethe vectors in the $F$-basis for the $gl(m|n)$ supersymmetric model.

Latex File, 24 pages, no figure, some misprints are corrected

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• Resolution of the Nested Hierarchy for Rational sl(n) Models
• Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model
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Cited by in corpus (11)

• Algebraic versus exponential decoherence in dissipative many-particle systems
• Dynamical universality classes towards an infinite temperature state
• Determinant Representations of Correlation Functions for the Supersymmetric t-J Model
• Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with $U_q(gl(m|n))$
• Scalar products of the open XYZ 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 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