D = 1 supergravity as a constrained system

Abstract

I review the classical and quantum dynamics of systems with local world-line supersymmetry. The hamiltonian formulation, in particular the covariant hamiltonian approach, is emphasized. Anomalous behaviour of local quantum supersymmetry is investigated and illustrated by supersymmetric dynamics on the sphere S 2 .

Global symmetries of Quaternion-Kähler $$ \mathcal{N} $$ = 4 supersymmetric mechanics

“…The Hamiltonian analysis of the simplest N = 1, 1D "supergravity" system, with the worldline multiplet consisting of a real "graviton" and one real "gravitino", was accomplished in[19].…”