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arXiv:hep-th/0310039v213Oct2003 Lorentz-Violating Supergravity

Summary: arXiv:hep-th/0310039v213Oct2003
Lorentz-Violating Supergravity
Roland E. Allen
Center for Theoretical Physics
Texas A&M University, College Station TX 77843, USA
The standard forms of supersymmetry and supergravity are inextricably wedded to
Lorentz invariance. Here a Lorentz-violating form of supergravity is proposed. The su-
perpartners 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.
1 Introduction
There is no spin-statistics connection in nonrelativistic quantum mechanics [1], for a simple
reason: Although causality is a meaningful concept in a nonrelativistic picture, microcausal-
ity is not. I.e., there is no requirement that commutators vanish outside a light cone. For the
same reason, a fundamental theory which violates Lorentz invariance does not necessarily
lead to the usual spin-statistics connection [2]. Such a theory may contain, e.g., bosons with
spin 1/2 and fermions with spin 1, and these particles will have very unusual properties. Here
we will discuss a Lorentz-violating theory which contains spin 1/2 sfermions (bosonic super-


Source: Allen, Roland E. - Department of Physics and Astronomy, Texas A&M University


Collections: Physics