Dirac-like Affine Fields in 3D

Details Dirac-like Affine Fields in 3D Dirac-like Affine Fields in 3D

1999-08-25

arxiv.org/abs/gr-qc/9908065v1

SFIN, XI A2 (1998)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, TeX; Talk given at the XI Yugoslav Symposium on Nuclear and Particle Physics, Studenica, September 1998

Scientific paper

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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