Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in $M_4 \times Z_2 \times Z_2$

Details Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in $M_4 \times Z_2 \times Z_2$ Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in $M_4 \times Z_2 \times Z_2$

1998-12-08

arxiv.org/abs/hep-th/9812065v1

Prog.Theor.Phys. 101 (1999) 1105-1118

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 5 figures, requires PTP style files

Scientific paper

10.1143/PTP.101.1105

The left-right symmetric model (LRSM) with gauge group $SU(2)_{L} \times SU(2)_{R} \times U(1)_{B-L}$ is reconstructed from the geometric formulation of gauge theory in $M_4 \times Z_2 \times Z_2$ where $M_4$ is the four-dimensional Minkowski space and $Z_2 \times Z_2$ the discrete space with four points. The geometrical structure of this model becomes clearer compared with other works based on noncommutative geometry. As a result, the Yukawa coupling terms and the Higgs potential are derived in more restricted forms than in the standard LRSM.

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