66 citations · 666 across the 45 of their papers we have counts for
45 papers
Sugawara and vertex operator constructions for deformed Virasoro algebras
D. Arnaudon, J. Avan, L. Frappat +2
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistenc…
Exotic Bialgebra S03: Representations, Baxterisation and Applications
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra is studied. The…
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 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…
Analytical Bethe ansatz in gl(N) spin chains
D. Arnaudon, N. Crampe, A. Doikou +2
We present a global treatment of the analytical Bethe ansatz for gl(N) spin chains admitting on each site an arbitrary representation. The method applies for closed and open spin c…
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…