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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147752 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862729925593661440 |
|---|---|
| author | Tanasa, A. |
| author_facet | Tanasa, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T19:17:36Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147752 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:17:36Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tanasa, A. 2019-02-15T19:09:54Z 2019-02-15T19:09:54Z 2016 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 https://nasplib.isofts.kiev.ua/handle/123456789/147752 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. This paper is a contribution to the Special Issue on Tensor Models, Formalism and Applications. The full
 collection is available at http://www.emis.de/journals/SIGMA/Tensor Models.html.
 The author is partially supported by the grants ANR JCJC CombPhysMat2Tens and PN 09 37
 01 02. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Multi-Orientable Random Tensor Model, a Review Article published earlier |
| spellingShingle | The Multi-Orientable Random Tensor Model, a Review Tanasa, A. |
| title | 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_short | The Multi-Orientable Random Tensor Model, a Review |
| title_sort | multi-orientable random tensor model, a review |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147752 |
| work_keys_str_mv | AT tanasaa themultiorientablerandomtensormodelareview AT tanasaa multiorientablerandomtensormodelareview |