D = 1 Supergravity and Spinning Particles

TL;DR

This paper reviews the multiplet calculus of N=1, D=1 local supersymmetry, introducing new features like non-linear realization and couplings to tensor fields, with applications to spinning particles and models with space-time supersymmetry.

Contribution

It presents a novel non-linear realization of local supersymmetry and extends coupling methods to anti-symmetric tensor fields in D=1 models.

Findings

Constructed a D=1 cosmological-constant term as a mass term.

Developed models for spinning particles in background fields.

Extended supersymmetry coupling techniques to tensor fields.

Abstract

In this paper I review the multiplet calculus of $N = 1$, $D = 1$ local supersymmetry with applications to the construction of models for spinning particles in background fields, and models with space-time supersymmetry. New features include a non-linear realization of the local supersymmetry algebra and the coupling to anti-symmetric tensor fields of both odd and even rank. The non-linear realization allows the construction of a $D = 1$ cosmological-constant term, which provides a mass term in the equations of motion.