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Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions

Vernadsky National Library of Ukraine

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Title Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
 
Creator Chatzistavrakidis, A.
Zoupanos, G.
 
Description Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of unified particle physics models in the context of higher-dimensional gauge theories with non-commutative extra dimensions. These ideas have been developed in two complementary ways, namely (i) starting with a higher-dimensional gauge theory and dimensionally reducing it to four dimensions over fuzzy internal spaces and (ii) starting with a four-dimensional, renormalizable gauge theory and dynamically generating fuzzy extra dimensions. We describe the above approaches and moreover we discuss the inclusion of fermions and the construction of realistic chiral theories in this context.
 
Date 2019-02-08T20:10:09Z
2019-02-08T20:10:09Z
2010
 
Type Article
 
Identifier Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions / A. Chatzistavrakidis, Z. Zoupanos // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 87 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 70S15
doi:10.3842/SIGMA.2010.063
http://dspace.nbuv.gov.ua/handle/123456789/146306
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України