Standard-model symmetry in complexified spacetime algebra
General Mathematics
2007-05-23 v2
Abstract
Complexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients, isomorphic . By resorting to matrix representation by means of Dirac-Pauli gamma matrices, the paper demonstrates isomorphism between subgroups of CSTA and SU(3). It is shown that the symmetry group of those subgroups is indeed and that there are 4 distinct copies of this group within CSTA.
Cite
@article{arxiv.math/0307165,
title = {Standard-model symmetry in complexified spacetime algebra},
author = {Jose B. Almeida},
journal= {arXiv preprint arXiv:math/0307165},
year = {2007}
}
Comments
8 pages, revised and extended compared to V.1