Head of the Department of Modern Mathematical Physics, Bogolyubov
Laboratory of Theoretical Physics, Joint Institute for Nuclear Research,
Dubna, Professor in MSU.
EXTENDED SUPERSYMMETRIC CALOGERO MODELS
We present the supercharges of the N-extended supersymmetric An
Calogero models in the standard form, maximally cubic in the fermions.
The complexity of the model is encoded in a non-canonical and nonlinear
conjugation property of the fermions. Employing the new cubic
supercharges, we apply a supersymmetric generalization of a "folding"
procedure for A2n−1⊕A1 to explicitly construct the supercharges and
Hamiltonian for arbitrary even-N supersymmetric extensions of the Bn, Cn
and Dn rational Calogero models. We demonstrate that all considered
models possess a dynamical osp(N|2) superconformal symmetry.
We also construct N=4 supersymmetric trigonometric/hyperbolic Calogero
models associated with A(n),B(n),C(n) и D(n) алгебрами.
Matinyan Room-Seminar Hall