$\bar{SL}(4,R)$ Embedding for a 3D World Spinor Equation
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
A generic-curved spacetime Dirac-like equation in 3D is constructed. It has, owing to the group deunitarizing automorphism, a physically correct unitarity and flat spacetime particle properties. The construction is achieved by embedding vector operator , that plays a role of Dirac's matrices, into . Decomposition of the unitary irreducible spinorial representations gives rise to an explicit form of the infinite matrices.
Cite
@article{arxiv.gr-qc/0409080,
title = {$\bar{SL}(4,R)$ Embedding for a 3D World Spinor Equation},
author = {Djordje Sijacki},
journal= {arXiv preprint arXiv:gr-qc/0409080},
year = {2009}
}