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arXiv · hep-th/9412220

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

Nguyen Ai Viet·Kameshwar C. Wali
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Abstract

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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Nguyen Ai Viet, Kameshwar C. Wali. 1994-12-27. Noncommutative Geometry and a Discretized Version of Kaluza-Klein Theory with a Finite Field Content. https://doi.org/10.1142/s0217751x96000249

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