99 citations · 343 across the 11 of their papers we have counts for
11 papers
Quadratic Poisson brackets for the Camassa--Holm peakons
J. Avan, L. Frappat, E. Ragoucy
We establish quadratic Poisson brackets for the generalized Camassa--Holm peakon structure introduced in \cite{AFR23}. The calculation is based on the halving of the spectral param…
A new integrable structure associated to the Camassa-Holm peakons
J. Avan, L. Frappat, E. Ragoucy
We provide a closed Poisson algebra involving the Ragnisco--Bruschi generalization of peakon dynamics in the Camassa--Holm shallow-water equation. This algebra is generated by thre…
On Abelianity Lines in Elliptic -Algebras
Jean Avan, Luc Frappat, Eric Ragoucy
We present a systematic derivation of the abelianity conditions for the -deformed -algebras constructed from the elliptic quantum algebra $\mathcal{A}_{q,p}\big(\widehat{\mat…
q-deformed W-algebras and elliptic algebras
J. Avan, L. Frappat, M. Rossi +1
The elliptic algebra A_{q,p}(sl(N)_{c}) at the critical level c=-N has an extended center containing trace-like operators t(z). Families of Poisson structures, defining q-deformati…
Yangian-invariant field theory of matrix-vector models
J. Avan, A. Jevicki, J. Lee
We extend our study of the field-theoretic description of matrix-vector models and the associated many-body problems of one dimensional particles with spin. We construct their Yang…
The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
J. Avan, O. Babelon, E. Billey
We quantize the spin Calogero-Moser model in the -matrix formalism. The quantum -matrix of the model is dynamical. This -matrix has already appeared in Gervais-Neveu's qua…