Extended supersymmetric Calogero model

摘要

We present a surprising redefinition of matrix fermions which brings the supercharges of theN-extended supersymmetricAn?1Calogero model introduced in to the standard form maximally cubic in the fermions. The complexity of the model is transferred to a non-canonical and nonlinear conjugation property of the fermions. Employing the new cubic supercharges, we apply a supersymmetric generalization of a “folding” procedure forA2n?1⊕A1to explicitly construct the supercharges and Hamiltonian for arbitrary even-Nsupersymmetric extensions of theBn,CnandDnrational Calogero models. We demonstrate that all considered models possess a dynamicalosp(N|2)superconformal symmetry.