Pauli Center Blackboard Seminar

Dynamical R-matrices for generalised CMS models

by Gleb Arutyunov (Univ. Hamburg)

Thursday, October 22, 2015 from to (Europe/Berlin)
at DESY Hamburg ( Sem. room 2 )
Description
Since their discovery in the early 70th, Calogero-Moser-Sutherland (CMS) models and their generalisations continue to fascinate both physicists and mathematicians.
By now it is well recognised that CMS systems play a role in research areas ranging from theoretical physics (such as quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos) to pure mathematics (such as representation theory, harmonic analysis,random matrix theory and complex geometry). The CMS systems are quantum-mechanical models of many interacting particles and they have a ubiquitous feature of being integrable. In this talk I will outline how these models can be derived at the classical leveland further quantised by using the Hamiltonian reduction technique. In the process I will embed these models in the Lax formalism, albeit with dynamical R-matrices.