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

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

2004-06-11

arxiv.org/abs/math-ph/0406021v3

J.Stat.Mech.0408:P08005,2004

Physics

Mathematical Physics

37 pages

Scientific paper

10.1088/1742-5468/2004/08/P08005

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.

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