A Gauge Field Model On SU(2)L× SU(2)R× U(1)Y × π4(GYM)
Abstract
We reconstruct the Lagrangian of a left-right symmetric model with the gauge group SU(2)L× SU(2)R× U(1)Y × π4(SU(2)L× SU(2)R× U(1)Y) . The Higgs fields appear as gauge fields on discrete gauge group π4(SU(2)L× SU(2)R× U(1)Y) and are assigned in a way complying with the principle that both the original gauge group GYM and the discrete group π4(GYM) should be taken as gauge groups in sense of non-commutative geometry.
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