Differential Algebras in Non-Commutative Geometry

Details Differential Algebras in Non-Commutative Geometry Differential Algebras in Non-Commutative Geometry

1993-11-19

arxiv.org/abs/hep-th/9311121v2

J.Geom.Phys. 16 (1995) 149

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1016/0393-0440(94)00025-Y

We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra. For that we derive a general formula for differential algebras based on tensor products of algebras. The result is used to characterize differential algebras which appear in models with one symmetry breaking scale.

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