Dirac-like Affine Fields in 3D

Abstract

A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the SL(3,R) ⊂ 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 SL(3,R) representations are outlined.

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