Rarita-Schwinger Potentials in Quantum Cosmology
Abstract
This paper studies the two-spinor form of the Rarita-Schwinger potentials subject to local boundary conditions compatible with local supersymmetry. The massless Rarita-Schwinger field equations are studied in four-real-dimensional Riemannian backgrounds with boundary. Gauge transformations on the potentials are shown to be compatible with the field equations providing the background is Ricci-flat, in agreement with previous results in the literature. However, the preservation of boundary conditions under such gauge transformations leads to a restriction of the gauge freedom. The recent construction by Penrose of secondary potentials which supplement the Rarita-Schwinger potentials is then applied. The equations for the secondary potentials, jointly with the boundary conditions, imply that the background four-geometry is further restricted to be totally flat.
Cite
@article{arxiv.gr-qc/9504013,
title = {Rarita-Schwinger Potentials in Quantum Cosmology},
author = {G. Esposito and G. Gionti and A. Yu. Kamenshchik and I. V. Mishakov and G. Pollifrone},
journal= {arXiv preprint arXiv:gr-qc/9504013},
year = {2008}
}
Comments
23 pages, plain TeX, no figures. The paper has been completely revised