62 citations · 222 across the 14 of their papers we have counts for
16 papers
Inozemtsev System as Seiberg-Witten Integrable system
Philip Argyres, Oleg Chalykh, Yongchao Lü
In this work we establish that the Inozemtsev system is the Seiberg-Witten integrable system encoding the Coulomb branch physics of 4d USp(2N) gauge theory with fou…
Deformed Calogero--Moser operators and ideals of rational Cherednik algebras
Yuri Berest, Oleg Chalykh
We consider a class of hyperplane arrangements in that generalise the locus configurations of \cite{CFV}. To such an arrangement we associate a second…
On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system
Oleg Chalykh, Maxime Fairon
We suggest a Hamiltonian formulation for the spin Ruijsenaars-Schneider system in the trigonometric case. Within this interpretation, the phase space is obtained by a quasi-Hamilto…
Quantum Lax pairs via Dunkl and Cherednik operators
Oleg Chalykh
We establish a direct link between Dunkl operators and quantum Lax matrices for the Calogero--Moser systems associated to an arbitrary Weyl group (or an arbitrary…
KP hierarchy for the cyclic quiver
Oleg Chalykh, Alexey Silantyev
We introduce a generalisation of the KP hierarchy, closely related to the cyclic quiver and the Cherednik algebra . This hierarchy depends on parameters (one…
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions
Oleg Chalykh, Pavel Etingof
We establish orthogonality relations for the Baker-Akhiezer (BA) eigenfunctions of the Macdonald difference operators. We also obtain a version of Cherednik-Macdonald-Mehta integra…