D = 1 Supergravity and Spinning Particles

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.

18 pages, a4, no figures, references added

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