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math-ph2005
Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation
D. Arnaudon, N. Crampe, A. Doikou +2
We consider the N-site U_{q}(gl(N)) integrable spin chain with periodic and open diagonal soliton-preserving boundary conditions. By employing analytical Bethe ansatz techniques we…
math.QA2005
On the R-matrix realization of Yangians and their representations
D. Arnaudon, A. Molev, E. Ragoucy
We study the Yangians Y(a) associated with the simple Lie algebras a of type B, C or D. The algebra Y(a) can be regarded as a quotient of the extended Yangian X(a) whose defining r…
math-ph2005
Analytical Bethe Ansatz for open spin chains with soliton non preserving boundary conditions
D. Arnaudon, N. Crampe, A. Doikou +2
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 abst…