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Affine Particles and Fields

Djordje Sijacki
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Abstract

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 $γ$ matrices, is constructed.

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Djordje Sijacki. 2005-05-13. Affine Particles and Fields. https://arxiv.org/abs/gr-qc/0505067

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