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 $\overline{SL}(3,R)$ $\subset$ $\overline{SA}(3,R)$ 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 $\overline{SL}(3,R)$ representations are outlined.

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