Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content

Details Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content

1994-12-27

arxiv.org/abs/hep-th/9412220v1

Int.J.Mod.Phys. A11 (1996) 533

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LATEX file

Scientific paper

We consider a four-dimensional space-time supplemented by two discrete points assigned to a $Z_2$ algebraic structure and develop the formalism of noncommutative geometry. By setting up a generalised vielbein, we study the metric structure. Metric compatible torsion free connection defines a unique finite field content in the model and leads to a discretized version of Kaluza-Klein theory. We study some special cases of this model that illustrate the rich and complex structure with massive modes and the possible presence of a cosmological constant.

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