Standard-model symmetry in complexified spacetime algebra
نویسنده
چکیده
Complexified spacetime algebra is defined as the geometric (Clifford) algebra of spacetime with complex coefficients. By resorting to matrix representation by means of Dirac-Pauli gamma matrices, the paper demonstrates isomorphism between subalgebras of CSTA and SU(3). It is shown that the symmetry group of those subalgebras is indeed U(1) ⊗ SU(2) ⊗ SU(3) and that there are 4 distinct copies of this group within CSTA.
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