Superintegrability of matrix models and BPS algebras | BlMSAIntegrable Systems Seminar

Abstract

The prominent role of matrix models in physics and mathematics is well known. lt is especiallyinteresting that some of those models are exactly solvable, meaning the one can find explicitformulas for correlation functions. This phenomenon has also been called superintegrability ofmatrix models. l will present some recent attempt to study it systematically and search for itsalgebraic origins. lt leads to an interesting connection with the rapidly developing field of BPSalgebras and their representations.