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Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
Інший ID:
2010 Mathematics Subject Classification: 70S15
doi:10.3842/SIGMA.2010.063
doi:10.3842/SIGMA.2010.063
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The authors would like to thank P. Aschieri, T. Grammatikopoulos, J. Madore, P. Manousselis and H. Steinacker for their collaboration on the subjects of this report over the last years. This work is supported by the NTUA programmes for basic research PEVE 2008 and 2009, the European Union’s RTN programme under contract MRTN-CT-2006-035505 and the European Union’s ITN programme “UNILHC” PITN-GA-2009-237920.
Дата:
2010
Переглядів:
498
Завантажень:
248
Анотація:
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.
