Multiple actions of the monodromy matrix in gl(2|1)-invariant integrable models

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

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We study gl(2j1) symmetric integrable models solvable by the nested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of the monodromy matrix entries onto these vectors. We show that the result of these actions is a finite linear combination of Bethe vectors. The obtained formulas open a way for studying scalar products of Bethe vectors.

Original languageEnglish
Article number099
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume12
DOIs
Publication statusPublished - 8 Oct 2016
Externally publishedYes

Keywords

  • Algebraic Bethe ansatz
  • Scalar product of Bethe vectors
  • Superalgebras

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