Scalar products and norm of Bethe vectors for integrable models based on Uq(Òglm)

Arthur Hutsalyuk, Andrii Liashyk, Stanislav Z. Pakuliak, Eric Ragoucy, Nikita A. Slavnov

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra Uq(Òglm). We also present a sum formula for their scalar products. This formula describes the scalar product in terms of a sum over partitions of the Bethe parameters, whose factors are characterized by two highest coefficients. We provide different recursions for these highest coefficients. In addition, we show that when the Bethe vectors are on-shell, their norm takes the form of a Gaudin determinant.

Original languageEnglish
Article number006
JournalSciPost Physics
Volume4
Issue number1
DOIs
Publication statusPublished - Jan 2018

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