Towards the solution of an integrable spin chain

Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.

Original languageEnglish (US)
Article number434004
JournalJournal of Physics A: Mathematical and Theoretical
Volume52
Issue number43
DOIs
StatePublished - Oct 3 2019

Keywords

  • Bethe ansatz
  • integrable quantum spin chains
  • quantum group

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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