Counterpart of the Weyl tensor for Rarita-Schwinger type fields

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Brandt, F.: Counterpart of the Weyl tensor for Rarita-Schwinger type fields. In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 767 (2017), S. 347-349. DOI:

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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.
License of this version: CC BY 4.0
Document Type: Text
Issue Date: 2017
Appears in Collections:Fakultät für Mathematik und Physik

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