General boundary conditions for the and open spin chains
D. Arnaudon, Jean Avan, Nicolas Crampé +3 more
Two types of boundary conditions (‘soliton preserving’ and ‘soliton non-preserving’) are investigated for the and 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 with the ‘soliton preserving’ case is worked out. The connection between the ‘soliton non-preserving’ boundary conditions and the twisted (super-) Yangians is also discussed.
arXiv:math-ph/0406021•Journal of Statistical Mechanics Theory and Experiment•Aug 24, 2004•79 citations