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A noncommutative geometric approach to left-right symmetric weak interactions

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Abstract

By combining the generalized exterior algebra of forms over a noncommutative algebra with the gauging of discrete directions and the associated Higgs fields, we consider the construction of the bosonic sector of left-right symmetric models of the form SU(2) L ⊗ SU(2) R ⊗ U(1). We see that within this formalism maximal use can be made of the gauge connection associated with the noncommutative graded algebra.

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Hanlon, B.E., Joshi, G.C. A noncommutative geometric approach to left-right symmetric weak interactions. Lett Math Phys 27, 105–115 (1993). https://doi.org/10.1007/BF00750678

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