Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M4*Z2*Z2.

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  • Konisi Gaku
    Department of Physics, Kwansei Gakuin University, Nishinomiya 662–8501, Japan
  • Maki Ziro
    Department of Physics, Kinki University, Higashi–Osaka 577–8502, Japan
  • Nakahara Mikio
    Department of Physics, Kinki University, Higashi–Osaka 577–8502, Japan
  • Saito Takesi
    Department of Physics, Kwansei Gakuin University, Nishinomiya 662–8501, Japan

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  • Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M4 × Z2 × Z2
  • Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M4 xZ2 xZ2

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The left-right symmetric model (LRSM) with gauge group SU(2)L × SU(2)R × U(1)B-L is reconstructed from the geometric formulation of gauge theory in M4 × Z2 × Z2, where M4 is the four-dimensional Minkowski space and Z2 × Z2 is the discrete space with four points. The geometrical structure of this model becomes clearer than that given by other works based on noncommutative geometry. As a result, the Yukawa coupling terms and the Higgs potential can be derived in more restricted forms than in the standard LRSM.

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