The Multi-Orientable Random Tensor Model, a Review
After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years into a solid alternative of the celebrated colored (and colored-like) random...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147752 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Multi-Orientable Random Tensor Model, a Review / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147752 |
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irk-123456789-1477522019-02-16T01:25:28Z The Multi-Orientable Random Tensor Model, a Review Tanasa, A. After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years into a solid alternative of the celebrated colored (and colored-like) random tensor model. In this paper we review the most important results of the study of this MO model: the implementation of the 1/N expansion and of the large N limit (N being the size of the tensor), the combinatorial analysis of the various terms of this expansion and finally, the recent implementation of a double scaling limit. 2016 Article The Multi-Orientable Random Tensor Model, a Review / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 05C90; 60B20; 81Q30; 81T99 DOI:10.3842/SIGMA.2016.056 http://dspace.nbuv.gov.ua/handle/123456789/147752 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 |
After its introduction (initially within a group field theory framework) in [Tanasa A., J. Phys. A: Math. Theor. 45 (2012), 165401, 19 pages, arXiv:1109.0694], the multi-orientable (MO) tensor model grew over the last years into a solid alternative of the celebrated colored (and colored-like) random tensor model. In this paper we review the most important results of the study of this MO model: the implementation of the 1/N expansion and of the large N limit (N being the size of the tensor), the combinatorial analysis of the various terms of this expansion and finally, the recent implementation of a double scaling limit. |
| format |
Article |
| author |
Tanasa, A. |
| spellingShingle |
Tanasa, A. The Multi-Orientable Random Tensor Model, a Review Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tanasa, A. |
| author_sort |
Tanasa, A. |
| title |
The Multi-Orientable Random Tensor Model, a Review |
| title_short |
The Multi-Orientable Random Tensor Model, a Review |
| title_full |
The Multi-Orientable Random Tensor Model, a Review |
| title_fullStr |
The Multi-Orientable Random Tensor Model, a Review |
| title_full_unstemmed |
The Multi-Orientable Random Tensor Model, a Review |
| title_sort |
multi-orientable random tensor model, a review |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147752 |
| citation_txt |
The Multi-Orientable Random Tensor Model, a Review / A. Tanasa // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 38 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT tanasaa themultiorientablerandomtensormodelareview AT tanasaa multiorientablerandomtensormodelareview |
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2023-05-20T17:28:13Z |
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2023-05-20T17:28:13Z |
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