Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps

Details Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps Non-Linear Affine Embedding of the Dirac Field from the Multiplicity-Free SL(4,R) Unirreps

1995-11-17

arxiv.org/abs/gr-qc/9511051v1

Class.Quant.Grav. 13 (1996) 2255-2266

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, plain TeX, macros included

Scientific paper

10.1088/0264-9381/13/8/018

The correspondence between the linear multiplicity-free unirreps of SL(4, R)
studied by Ne'eman and {\~{S}}ija{\~{c}}ki 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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