5. Theoretical Physics (CSN4)

Group invariants in supersymmetric mechanics

by Dr A. Sutulin (JINR Dubna, Russia)

Aula Seminari (LNF)

Aula Seminari


Via Enrico Fermi, 40 00044 Frascati (Roma)
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.