Scalar products of Bethe vectors in models with gl (2| 1) symmetry 1. Super-analog of Reshetikhin formula

A. Hutsalyuk, A. Liashyk, S. Z. Pakuliak, E. Ragoucy, N. A. Slavnov

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

We study the scalar products of Bethe vectors in integrable models solvable by the nested algebraic Bethe ansatz and possessing gl(2|1) symmetry. Using explicit formulas of the monodromy matrix entries' multiple actions onto Bethe vectors we obtain a representation for the scalar product in the most general case. This explicit representation appears to be a sum over partitions of the Bethe parameters. It can be used for the analysis of scalar products involving on-shell Bethe vectors. As a by-product, we obtain a determinant representation for the scalar products of generic Bethe vectors in integrable models with gl(1|1) symmetry.

Original languageEnglish
Article number454005
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number45
DOIs
Publication statusPublished - 19 Oct 2016
Externally publishedYes

Keywords

  • algebraic Bethe ansatz
  • Bethe vectors
  • integrable systems
  • scalar product

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