Scattering matrices in the sl(3) twisted Yangian

Jean Avan, Anastasia Doikou, Nikos Karaiskos

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected to the boundary, hence the appellation soliton non-preserving boundary conditions. We focus on the simplest non-trivial case of this class of models based on the twisted Yangian quadratic algebra. Our computations are performed through the Bethe ansatz equations in the thermodynamic limit. We formulate a suitable quantization condition describing the scattering process and proceed with explicitly determining the bulk and boundary scattering amplitudes. The energy and quantum numbers of the low lying excitations are also derived.
Original languageEnglish
Article numberP02007
Number of pages14
JournalJournal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - Feb 2015


  • hep-th
  • math-ph
  • math.MP
  • nlin.SI


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