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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| Дата: | 2010 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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
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irk-123456789-1463062019-02-09T01:24:59Z Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions Chatzistavrakidis, A. Zoupanos, G. 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. 2010 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Chatzistavrakidis, A. Zoupanos, G. |
| spellingShingle |
Chatzistavrakidis, A. Zoupanos, G. Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Chatzistavrakidis, A. Zoupanos, G. |
| author_sort |
Chatzistavrakidis, A. |
| title |
Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions |
| title_short |
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_sort |
higher-dimensional unified theories with fuzzy extra dimensions |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146306 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT chatzistavrakidisa higherdimensionalunifiedtheorieswithfuzzyextradimensions AT zoupanosg higherdimensionalunifiedtheorieswithfuzzyextradimensions |
| first_indexed |
2023-05-20T17:24:34Z |
| last_indexed |
2023-05-20T17:24:34Z |
| _version_ |
1796153227727601664 |