4.6 Article

Recurrence relations for off-shell Bethe vectors in trigonometric integrable models

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac491b

Keywords

integrable models; algebraic Bethe ansatz; Bethe vectors

Funding

  1. RFBR [19-01-00726-a]

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This article discusses the application of the zero modes method in obtaining the action of monodromy matrix entries on off-shell Bethe vectors in quantum integrable models associated with U-q(gl(N))-invariant R-matrices. The derived action formulas allow for the calculation of recurrence relations for off-shell Bethe vectors and the highest coefficients of the Bethe vectors' scalar product.
The zero modes method is applied in order to get the action of the monodromy matrix entries on off-shell Bethe vectors in quantum integrable models associated with U-q(gl(N))-invariant R-matrices. The action formulas allow to get recurrence relations for off-shell Bethe vectors and for highest coefficients of the Bethe vectors scalar product.

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