Abstracts

Francesco Toppan

New issues in superconformal quantum mechanics

Superconformal quantum mechanics and the associated DFF deformed oscillators are recovered from spectrum generating superalgebras. Alternative choices of Hilbert spaces as direct sums of lowest weight representations are discussed. A 3D model with spin-orbit interaction and dependent on a real deformation parameter is explicitly solved. It presents unexpected features: a recursive pattern of vacuum energy in function of the deformation parameter; the degeneracy of the energy eigenstates interpolates between two different regimes, an effective 2d oscillator at low energy and a 3d oscillator at higher energy.