9 papers
Integrable multi-species SSEP with reactive particle species
Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy
We investigate integrable exclusion Markov processes constructed from set-theoretical solutions of the Yang-Baxter Equation (YBE) that generalise the multi-species Symmetric Simple…
Harish-Chandra images of orthosymplectic Sugawara operators and Casimir elements
Alexander Molev, Madeline Nurcombe, Eric Ragoucy
We consider the recently constructed Segal--Sugawara vectors for the orthosymplectic Lie superalgebras. We calculate their images with respect to the Harish-Chandra homomorphism an…
Yangian Doubles and off-Shell Bethe Vectors
A. Liashyk, S. Pakuliak, E. Ragoucy
Off-shell Bethe vectors for a generic $\fg$ invariant integrable model are constructed through the currents of the Yangian doubles of the classical series. These off-shell Bethe ve…
Serre Relations in Yangian Doubles
A. Liashyk, S. Pakuliak, E. Ragoucy
Following the approach of B.~Enriquez~\cite{E} we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest…
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…
Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A. Liashyk, S. Pakuliak, E. Ragoucy
The first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic -invariant integrable model for , , …