Extended SUSY quantum mechanics: transition amplitudes and path integrals

Understand

Quantum mechanical models with extended supersymmetry find interesting applications in worldline approaches to relativistic field theories.

• In this paper we consider one-dimensional nonlinear sigma models with O(N) extended supersymmetry on the worldline, which are used in the study of higher spin fields on curved backgrounds.
• We calculate the transition amplitude for euclidean times (i.e.
• the heat kernel) in a perturbative expansion, using both canonical methods and path integrals.