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A Gauge Field Model On $SU(2)_L\times SU(2)_R\times U(1)_Y \times π_4(G_{YM})$

Bin Chen·Han-Ying Guo·Hong-Bo Teng·Ke Wu
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Abstract

We reconstruct the Lagrangian of a left-right symmetric model with the gauge group $SU(2)_L\times SU(2)_R\times U(1)_Y \times π_4(SU(2)_L\times SU(2)_R\times U(1)_Y) $. The Higgs fields appear as gauge fields on discrete gauge group $π_4(SU(2)_L\times SU(2)_R\times U(1)_Y) $ and are assigned in a way complying with the principle that both the original gauge group $G_{YM}$ and the discrete group $π_4(G_{YM})$ should be taken as gauge groups in sense of non-commutative geometry.

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Bin Chen, Han-Ying Guo, Hong-Bo Teng, Ke Wu. 1994-10-24. A Gauge Field Model On $SU(2)_L\times SU(2)_R\times U(1)_Y \times π_4(G_{YM})$. https://arxiv.org/abs/hep-th/9410172

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