TeV scale 5D SU(3)(W) unification and the fixed point anomaly cancellation with chiral split multiplets

초록

A possibility of 5D gauge unification of SU(2)(L) x U(1)(Y) in SU(3)(W) is examined. The orbifold compactification allows fixed points where SU(2)(L) x U(1)(Y) representations can be assigned. We present a few possibilities which give long proton lifetime, top-bottom mass hierarchy from geometry, and reasonable neutrino masses. In general, these chiral models can lead to fixed point anomalies. We can show easily, due to the simplicity of the model, that these anomalies are cancelled by the relevant Chern-Simons terms for all the models we consider. It is also shown that the fixed point U(1)-graviton-graviton anomaly cancels without the help from the Chern-Simons term. Hence, we conjecture that the fixed point anomalies can be cancelled if the effective 4D theory is made anomaly free by locating chiral fermions at the fixed points.

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