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 $S^2$.

18 pages, plenary talk at Group32, Prague (2018)

References in corpus (2)

• Covariant hamiltonian dynamics
• Covariant hamiltonian spin dynamics in curved space-time

Cited by in corpus (1)

• Global Symmetries of Quaternion-K$\ddot{\mathbf{a}}$hler $\mathcal{N}=4$ Supersymmetric Mechanics