Embedding for a 3D World Spinor Equation
arXiv:gr-qc/0409080 · doi:10.1088/0264-9381/21/19/007
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.