Counterpart of the Weyl tensor for Rarita-Schwinger type fields
Abstract
In dimensions larger than 3 a modified field strength for Rarita-Schwinger type fields is constructed whose components are not constrained by the field equations. In supergravity theories the result provides a modified (supercovariant) gravitino field strength related by supersymmetry to the (supercovariantized) Weyl tensor. In various cases, such as for free Rarita-Schwinger type gauge fields and for gravitino fields in several supergravity theories, the modified field strength coincides on-shell with the usual field strength. A corresponding result for first order derivatives of Dirac type spinor fields is also presented.
Keywords
Cite
@article{arxiv.1612.03532,
title = {Counterpart of the Weyl tensor for Rarita-Schwinger type fields},
author = {Friedemann Brandt},
journal= {arXiv preprint arXiv:1612.03532},
year = {2017}
}
Comments
v1: 4 pages, v2: added reference, v3: 5 pages, added comments subsequent to equation (18), matches published version, v4: added reference and note