English

Dirac-like Affine Fields in 3D

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the SLˉ(3,R)\bar{SL}(3,R) \subset SAˉ(3,R)\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 SLˉ(3,R)\bar{SL}(3,R) representations are outlined.

Keywords

Cite

@article{arxiv.gr-qc/9908065,
  title  = {Dirac-like Affine Fields in 3D},
  author = {I. Miskovic and Dj. Sijacki},
  journal= {arXiv preprint arXiv:gr-qc/9908065},
  year   = {2007}
}

Comments

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