A. Lopezpinto et al., NONLINEAR AFFINE EMBEDDING OF THE DIRAC FIELD FROM THE MULTIPLICITY-FREE SL(4,R) UNIRREPS, Classical and quantum gravity, 13(8), 1996, pp. 2255-2265
The correspondence between the linear multiplicity-free unirreps of SL
(4, R) studied by Ne'eman and Sijacki and the nonlinear realizations o
f the affine group is derived. The results obtained clarify the inclus
ion of spinorial fields in a nonlinear affine gauge theory of gravitat
ion.