I introduce a universal formalism producing Hamiltonians and eigenfunctions of Ruijsenaars-Schneider (RS) integrable systems. The main idea of this approach is to interpret the states of RS systems as vectors in the tensor product of so-called vector representations of quantum toroidal algebras (QTAs) and to exploit the knowledge of QTA representation theory to build intertwining operators producing the Hamiltonians and wavefunctions. Time permitting, I will also discuss possible extensions and generalisations.
New R-matrix formalism for Ruijsenaars-Schneider systems from quantum toroidal algebras
16.12.2025 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: