1 citations · 1 across the 3 of their papers we have counts for
6 papers
On sl(N) and sl(M|N) integrable open spin chains
D. Arnaudon, J. Avan, N. Crampe' +3
We study open spin chains based on rational sl(N) and sl(M|N) R-matrices. We classify the solutions of the reflection equations, for both the soliton-preserving and soliton-non-pre…
Exotic bialgebras : non-deformation quantum groups
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the a…
Irreducible representations of the quantum analogue of SU(2)
Ph. Roche, D. Arnaudon
We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of th…
Integrable Chain Model with Additional Staggered Model Parameter
D. Arnaudon, R. Poghossian, A. Sedrakyan +1
The generalization of the Yang-Baxter equations (YBE) in the presence of Z_2 grading along both chain and time directions is presented. The XXZ model with staggered disposition alo…
On the Quasi-Hopf structure of deformed double Yangians
D. Arnaudon, J. Avan, L. Frappat +2
We construct universal twists connecting the centrally extended double Yangian DY(sl(2))_c with deformed double Yangians DY_r(sl(2))_c, thereby establishing the quasi-Hopf structur…
Universal Solutions of Quantum Dynamical Yang-Baxter Equations
D. Arnaudon, E. Buffenoir, E. Ragoucy +1
We construct a universal trigonometric solution of the Gervais-Neveu-Felder equation in the case of finite dimensional simple Lie algebras and finite dimensional contragredient sim…