# D = 1 supergravity as a constrained system

## TL;DR

This paper reviews the classical and quantum dynamics of D=1 supergravity as a constrained system, emphasizing the covariant Hamiltonian approach and examining anomalies in local quantum supersymmetry.

## Contribution

It provides a detailed analysis of the Hamiltonian formulation of D=1 supergravity and investigates anomalies in local quantum supersymmetry, with illustrative examples.

## Key findings

- Anomalous behavior of local quantum supersymmetry identified
- Covariant Hamiltonian approach effectively describes supergravity dynamics
- Supersymmetric dynamics on S^2 used to illustrate anomalies

## 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 $S^2$.