Standard-model symmetry in complexified spacetime algebra

Details Standard-model symmetry in complexified spacetime algebra Standard-model symmetry in complexified spacetime algebra

2003-07-11

arxiv.org/abs/math/0307165v2

Mathematics

General Mathematics

8 pages, revised and extended compared to V.1

Scientific paper

Complexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients, isomorphic $\mathcal{G}_{1,4}$. 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 $U(1) \otimes SU(2) \otimes SU(3)$ and that there are 4 distinct copies of this group within CSTA.

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