Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
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 theorie...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146306 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744443600240640 |
|---|---|
| author | Chatzistavrakidis, A. Zoupanos, G. |
| author_facet | Chatzistavrakidis, A. Zoupanos, G. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T20:35:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146306 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:35:20Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chatzistavrakidis, A. Zoupanos, G. 2019-02-08T20:10:09Z 2019-02-08T20:10:09Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146306 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions Article published earlier |
| spellingShingle | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions Chatzistavrakidis, A. Zoupanos, G. |
| title | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_full | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_fullStr | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_full_unstemmed | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_short | Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_sort | higher-dimensional unified theories with fuzzy extra dimensions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146306 |
| work_keys_str_mv | AT chatzistavrakidisa higherdimensionalunifiedtheorieswithfuzzyextradimensions AT zoupanosg higherdimensionalunifiedtheorieswithfuzzyextradimensions |