Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps
A. Lopez-Pinto, A. Tiemblo, R. Tresguerres
Abstract
The correspondence between the linear multiplicity-free unirreps of SL(4, R) studied by Ne'eman and Sijacki and the non-linear realizations of the affine group is worked out. The results obtained clarify the inclusion of spinorial fields in a non-linear affine gauge theory of gravitation.
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