Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-05-13
Int.J.Geom.Meth.Mod.Phys. 2 (2005) 189-201
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Scientific paper
The covering of the affine symmetry group, a semidirect product of
translations and special linear transformations, in $D \geq 3$ dimensional
spacetime is considered. Infinite dimensional spinorial representations on
states and fields are presented. A Dirac-like affine equation, with infinite
matrices generalizing the $\gamma$ matrices, is constructed.
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