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Dirac-like Affine Fields in 3D

I. Miskovic·Dj. Sijacki
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Abstract

A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the $\bar{SL}(3,R)$ $\subset$ $\bar{SA}(3,R)$ symmetry is considered. Constraints that ensure a correct physical interpretation of the corresponding particle states are presented. Dirac-like equations based on both multiplicity-free and generic infinite-component $\bar{SL}(3,R)$ representations are outlined.

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I. Miskovic, Dj. Sijacki. 1999-08-25. Dirac-like Affine Fields in 3D. https://arxiv.org/abs/gr-qc/9908065

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