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- <H1>High Energy Physics - Theory, abstract<BR>
- hep-th/9402003</H1>
- <PRE>
- From: <A HREF="mailto:gt0109e@prism.gatech.edu">gt0109e@prism.gatech.edu</A> (Frank Dodd Smith)
- Date: Tue, 1 Feb 1994 12:49:18 -0500
- </PRE>
- <H3>SU(3)xSU(2)xU(1), Higgs, and Gravity from Spin(0,8) Clifford Algebra
- Cl(0,8), F. D. T. Smith, 1+20 pages, THEP-94-1, LaTex
- </H3>
- <P>
- <BLOCKQUOTE>
- The Lagrangian action for the D4-D5-E6 model of <A HREF="/abs/hep-th/9306011">hep-th/9306011</A> has
- 8-dim spacetime V8 of the vector representation of Spin(0,8);
- 8-dim fermion fields S8+ = S8- of the half-spinor 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 <A HREF="/abs/hep-ph/9301210">hep-ph/9301210</A>.
- 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 <A HREF="/abs/hep-th/9302030">hep-th/9302030</A>.
- </BLOCKQUOTE>
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