E. Dotsenko, “A compatible system of equations related to the Lie superalgebra <nobr>$\frak{gl}(n|m)$</nobr> and integrable Calogero–Moser model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2023, Volume 117, Issue 4,Pages <nobr>319

METHODS OF THEORETICAL PHYSICS

A compatible system of equations related to the Lie superalgebra $\frak{gl}(n|m)$ and integrable Calogero–Moser model

E. Dotsenko^ab

^a National Research Center Kurchatov Institute, Moscow, 123182 Russia
^b Faculty of Mathematics, National Research University Higher School of Economics, Moscow, 119048 Russia

Abstract: A joint system of equations based on the $\frak{gl}(n|m)$ superalgebra has been determined and its relation to the integrable Calodgero–Moser system of particles has been established.

Received: 09.12.2022
Revised: 05.01.2023
Accepted: 08.01.2023

DOI: 10.31857/S1234567823040122