On the Spinor Representation
Mathematical Physics
2017-09-13 v1 High Energy Physics - Theory
math.MP
Abstract
A systematic study of the spinor representation by means of the fermionic physical space is accomplished and implemented. The spinor representation space is shown to be constrained by the Fierz-Pauli-Kofink identities among the spinor bilinear covariants. A robust geometric and topological structure can be manifested from the spinor space, wherein, for instance, the first and second homotopy groups play prominent roles on the underlying physical properties, associated to the fermionic fields.
Keywords
Cite
@article{arxiv.1702.05034,
title = {On the Spinor Representation},
author = {J. M. Hoff da Silva and C. H. Coronado Villalobos and R. J. Bueno Rogerio and Roldão da Rocha},
journal= {arXiv preprint arXiv:1702.05034},
year = {2017}
}
Comments
16 pages