Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions

Daniel Arnaudon, Anastasia Doikou, Luc Frappat, Eric Ragoucy, Nicolas Crampé

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We present an "algebraic treatment'' of the analytical Bethe ansatz for open spin chains with soliton non preserving (SNP) boundary conditions. For this purpose, we introduce abstract monodromy and transfer matrices which provide an algebraic framework for the analytical Bethe ansatz. It allows us to deal with a generic gl(N) open SNP spin chain possessing on each site an arbitrary representation. As a result, we obtain the Bethe equations in their full generality. The classification of finite dimensional irreducible representations for the twisted Yangians are directly linked to the calculation of the transfer matrix eigenvalues.
Original languageEnglish
JournalInternational Journal of Modern Physics A
Volume21
Issue number7
DOIs
Publication statusPublished - 20 Mar 2006

Keywords

  • math-ph
  • cond-mat.stat-mech
  • hep-ph
  • hep-th
  • math.MP
  • 81R50, 17B37

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