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A Non-Commutative Geometric Approach to Left-Right Symmetric Weak Interactions

B. E. Hanlon·G. C. Joshi
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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 $SU(2)_{L}\otimes SU(2)_{R}\otimes U(1)$. We see that within this formalism maximal use can be made of the gauge connection associated with the non-commutative graded algebra.

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B. E. Hanlon, G. C. Joshi. 1992-12-02. A Non-Commutative Geometric Approach to Left-Right Symmetric Weak Interactions. https://doi.org/10.1007/bf00750678

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