5. Theoretical Physics (CSN4)

# Group invariants in supersymmetric mechanics

## by Dr A. Sutulin (JINR Dubna, Russia)

Europe/Rome
Aula Seminari (LNF)

### Aula Seminari

#### LNF

Via Enrico Fermi, 40 00044 Frascati (Roma)
Description
We explicitly constructed the generators of SU(n+1) group which commute with the supercharges of N=4 supersymmetric CP(n) mechanics in the background U(n) gauge fields. The main feature of our construction is that the corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on SU(n+1) group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.