Counterpart of the Weyl tensor for Rarita-Schwinger type fields
arXiv:1612.03532 · doi:10.1016/j.physletb.2017.01.083
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.
v1: 4 pages, v2: added reference, v3: 5 pages, added comments subsequent to equation (18), matches published version, v4: added reference and note