A note on ${\mathfrak{gl}}_2$-invariant Bethe vectors

Abstract

We consider ${\mathfrak{gl}}_2$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix. We also derive the actions of the twisted monodromy matrix entries onto twisted off-shell Bethe vectors.

15 pages

References in corpus (2)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases

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• Scalar Products in Twisted XXX Spin Chain. Determinant Representation
• Modified rational six vertex model on the rectangular lattice
• Separation of variables for higher rank integrable models: review of recent progress