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Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
Інший ID:
2010 Mathematics Subject Classification: 81T75; 81T30
DOI:10.3842/SIGMA.2010.058
DOI:10.3842/SIGMA.2010.058
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
557
Завантажень:
248
Анотація:
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.
