SU(3)xSU(2)xU(1), Higgs, and Gravity from Spin(0,8) Clifford Algebra Cl(0,8)
Abstract
The Lagrangian action for the D4D5E6 model of hepth/9306011 has 8dim spacetime V8 of the vector representation of Spin(0,8); 8dim fermion fields S8+ = S8 of the halfspinor reps of Spin(0,8); and 28 gauge boson fields of the bivector adjoint rep of Spin(0,8). In this paper, the structure of the positive definite Clifford algebra Cl(0,8) of Spin(0,8), and the triality automorphism V8 = S8+ = S8, are used to reduce the spacetime to 4 dimensions and thereby change the gauge group from Spin(0,8) to the realistic SU(3)xSU(2)xU(1), Higgs, and Gravity. The effect of dimensional reduction on fermions, to introduce 3 generations, has been described in hepph/9301210. The global geometry of manifolds V8 = S8+ = S8 = RP1xS7, the effects of dimensional reduction on them, and the calculation of force strength constants, has been described in hepth/9302030.
 Publication:

arXiv eprints
 Pub Date:
 February 1994
 arXiv:
 arXiv:hepth/9402003
 Bibcode:
 1994hep.th....2003S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 1+20 pages, THEP941, LaTex