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 $SU(2{)}_L\otimes SU(2{)}_R\otimes U(1)$. We see that within this formalism maximal use can be made of the gauge connection associated with the non-commutative graded algebra.

Comments: 17 pages, UM-P-92/38