Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the b...
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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/123456789/146360 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors / H. Nastase, C. Papageorgakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862553469163929600 |
|---|---|
| author | Nastase, H. Papageorgakis, C. |
| author_facet | Nastase, H. Papageorgakis, C. |
| citation_txt | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors / H. Nastase, C. Papageorgakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory.
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| first_indexed | 2025-11-25T21:08:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146360 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T21:08:27Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nastase, H. Papageorgakis, C. 2019-02-09T09:39:46Z 2019-02-09T09:39:46Z 2010 Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors / H. Nastase, C. Papageorgakis // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T75; 81T30 DOI:10.3842/SIGMA.2010.058 https://nasplib.isofts.kiev.ua/handle/123456789/146360 We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to the usual (adjoint) fuzzy sphere. We discuss the mathematical details of the bifundamental fuzzy sphere and its field theory expansion in a model-independent way. We also examine how this new formulation affects the twisting of the fields, when comparing the field theory on the fuzzy sphere background with the compactification of the 'deconstructed' (higher dimensional) field theory. 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.
 It is a pleasure to thank Sanjaye Ramgoolam for many comments, discussions and collaboration in [9]. CP is supported by the STFC grant ST/G000395/1. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors Article published earlier |
| spellingShingle | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors Nastase, H. Papageorgakis, C. |
| title | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors |
| title_full | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors |
| title_fullStr | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors |
| title_full_unstemmed | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors |
| title_short | Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors |
| title_sort | bifundamental fuzzy 2-sphere and fuzzy killing spinors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146360 |
| work_keys_str_mv | AT nastaseh bifundamentalfuzzy2sphereandfuzzykillingspinors AT papageorgakisc bifundamentalfuzzy2sphereandfuzzykillingspinors |