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

G. Konisi; T. Saito; Z. Maki; M. Nakahara

doi:10.1143/PTP.101.1105

paper

Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in $M_{4} \times Z_{2} \times Z_{2}$

arXiv:hep-th/9812065 · doi:10.1143/PTP.101.1105

Abstract

The left-right symmetric model (LRSM) with gauge group $S U (2)_{L} \times S U (2)_{R} \times U (1)_{B - L}$ 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.

14 pages, 5 figures, requires PTP style files

Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in M4​×Z2​×Z2​

Abstract

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Left-Right Symmetric Model from Geometrical Formulation of Gauge Theory in $M_{4} \times Z_{2} \times Z_{2}$