General boundary conditions for the sl(N) and sl(M|N) open spin chains

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

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62 Citations (Scopus)


Two types of boundary conditions ("soliton preserving" and "soliton non-preserving") are investigated for the sl(n) and sl(m|n) open spin chains. The appropriate reflection equations are formulated and the corresponding solutions are classified. The symmetry and the Bethe Ansatz equations are derived for each case. The general treatment for non-diagonal reflection matrices associated to "soliton preserving" case is worked out. The connection between the "soliton non-preserving" boundary conditions and the twisted (super) Yangians is also discussed.
Original languageEnglish
Article numberP08005
JournalJournal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - Aug 2004


  • math-ph
  • hep-th
  • math.MP


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