Scalar products of Bethe vectors in models with gl(2|1) 2. Determinant representation

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

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We study integrable models with gl(2|1) symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.

Original languageEnglish
Article number034004
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number3
DOIs
Publication statusPublished - 20 Jan 2017
Externally publishedYes

Keywords

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

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