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

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 non-commutative graded algebra.

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