5. Theoretical Physics (CSN4)
# Group invariants in supersymmetric mechanics

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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.