Q-operators for the Ruijsenaars model

by Prof. Hjalmar Rosengren (Chalmers University, Sweden)

Thursday 21 May 2026, 14:00 → 15:00 Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

The Ruijsenaars model describes a system of relativistic quantum particles interacting through an elliptic potential. An important tool for studying this model is Q-operators, which are integral operators commuting with the Hamiltonian. The mutual commutativity of these operators is equivalent to an integral identity that also appears in quantum field theory and was conjectured by Gadde, Rastelli, Razamat and Yan. We will sketch one or two proofs of this conjecture. The talk is based on on joint work with Eric Rains, arXiv:2503.18057.