N-extended supersymmetric Calogero models

Abstract

We propose a new N-extended supersymmetric su(n) spin-Calogero model. Employing a generalized Hamiltonian reduction adopted to the supersymmetric case, we explicitly construct a novel rational n-particle Calogero model with an arbitrary even number of supersymmetries. It features Nn2 rather than Nn fermionic coordinates and increasingly high fermionic powers in the supercharges and the Hamiltonian.