Gauge Theories: from Kaluza-Klein to noncommutative gravity theories

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afte...

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Bibliographic Details
Main Authors: Manolakos, George (Author) , Manousselis, Pantelis (Author) , Zoupanos, George (Author)
Format: Article (Journal)
Language:English
Published: 2 July 2019
In: Symmetry
Year: 2019, Volume: 11, Issue: 7, Pages: 856
ISSN:2073-8994
DOI:10.3390/sym11070856
Online Access:Verlag, Volltext: https://doi.org/10.3390/sym11070856
Verlag: https://www.mdpi.com/2073-8994/11/7/856
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Author Notes:George Manolakos, Pantelis Manousselis and George Zoupanos
Description
Summary:First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.
Item Description:Gesehen am 08.11.2019
Physical Description:Online Resource
ISSN:2073-8994
DOI:10.3390/sym11070856