66 citations · 1.3k across the 97 of their papers we have counts for
4 papers · 1 filter
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…
On the symmetries of integrable systems with boundaries
Anastasia Doikou
We employ appropriate realizations of the affine Hecke algebra and we recover previously known non-diagonal solutions of the reflection equation for the case. W…
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…
On quantum group symmetry and Bethe ansatz for the asymmetric twin spin chain with integrable boundary
Anastasia Doikou, Paul P. Martin
Motivated by a study of the crossing symmetry of the `gemini' representation of the affine Hecke algebra we give a construction for crossing tensor space representations of ordinar…