Standard-model symmetry in complexified spacetime algebra

Jose B. Almeida

Standard-model symmetry in complexified spacetime algebra

综合数学 2007-05-23 v2

作者: Jose B. Almeida

摘要

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.

关键词

associative algebras c*-algebras algebra classification and gradings

引用

@article{arxiv.math/0307165,
  title  = {Standard-model symmetry in complexified spacetime algebra},
  author = {Jose B. Almeida},
  journal= {arXiv preprint arXiv:math/0307165},
  year   = {2007}
}

备注

8 pages, revised and extended compared to V.1

Standard-model symmetry in complexified spacetime algebra

摘要

关键词

引用

备注

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