5 papers
Integrable systems with impurity
E. Ragoucy
After reviewing some basic properties of RT algebras, which appear to be the natural framework to deal with integrable systems in presence of an impurity, we show how any integrabl…
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…
A remarkable connection between Yangians and finite W-algebras
E. Ragoucy, P. Sorba
For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfied. Therefore such finite W algebras appear as realisations of Yangians. This re…
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…
(SUPER) W Algebras from Non Abelian (SUPER) Toda Theories
L. Frappat, E. Ragoucy, P. Sorba
A classification of (super) algebras arising from non Abelian Toda and super Toda theories is presented. This classification is based on the or sub(super)alg…