The standard forms of supersymmetry and supergravity are inextricably wedded
to Lorentz invariance. Here a Lorentz-violating form of supergravity is
proposed. The superpartners have exotic properties that are not possible in a
theory with exact Lorentz symmetry and microcausality. For example, the bosonic
sfermions have spin 1/2 and the fermionic gauginos have spin 1. The theory is
based on a phenomenological action that is shown to follow from a simple
microscopic and statistical picture.Comment: 15 pages; to be published in Proceedings of Beyond the Desert 2003
(Castle Ringberg, Tegernsee, Germany, 9-14 June 2003), edited by H. V.
Klapdor-Kleingrothau