EXTENDED SUPERSYMMETRIC CALOGERO MODELS

SERGEY  KRIVONOS

 

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

 

 

 

                      ABSTRACT

   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

                                  27.05.2019, 14.00

Updated: 05/22/19