Drinfeld twists and algebraic Bethe ansatz of the supersymmetric model associated with $U_q(gl(m|n))$

Abstract

We construct the Drinfeld twists (or factorizing $F$-matrices) of the supersymmetric model associated with quantum superalgebra $U_q(gl(m|n))$, and obtain the completely symmetric representations of the creation operators of the model in the $F$-basis provided by the $F$-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the $F$-basis for the $U_q(gl(2|1))$-model (the quantum t-J model).

arXiv commentLatex file, 33 pages; V2: minor typos corrected;V3: Reference update, the new version will appear in Commun. Maths. Phys;V4: misprints corrected

References in corpus (11)

• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity
• A New Supersymmetric and Exactly Solvable Model of Correlated Electrons
• Solution of the quantum inverse problem
• Spontaneous magnetization of the XXZ Heisenberg spin-1/2 chain
• Resolution of the Nested Hierarchy for Rational sl(n) Models
• On the defining relations of the affine Lie superalgebras and their quantized universal enveloping superalgebras
• Drinfeld Twists and Algebraic Bethe Ansatz of the Supersymmetric t-J Model
• Polarization-free generators for the Belavin model
• Drinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models
• Drinfel'd Twists and Functional Bethe Ansatz

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• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• 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
• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• 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