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9 January 2018

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From Kaluza-Klein to Non-Commutative Gauge Theories of Gravity †

Physics Department, National Technical University of Athens, 15780 Zografou, Greece
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings2018, 2(1), 29;https://doi.org/10.3390/proceedings2010029
This article belongs to the Proceedings of The First International Conference on Symmetry
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Abstract

Firstly; a short reminder of the Kaluza-Klein programme and a review of the Coset Space Dimensional Reduction of higher dimensional gauge theories will be given. Then; the “fuzzy sphere” will be presented; as a representative example of a non-commutative coset as well as the construction of gauge theories on such spaces. Eventually; examples will be presented of (a) a higher dimensional Unified Theory with fuzzy coset spaces as extra dimensions; (b) gravity as a gauge theory on non-commutative spaces.

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