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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Видавець:Інститут математики НАН України
Дата:2016
Автор: Tanasa, A.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2016
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/147752
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
work_keys_str_mv AT tanasaa themultiorientablerandomtensormodelareview
AT tanasaa multiorientablerandomtensormodelareview
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