Real Part of Twisted-by-Grading Spectral Triples
After a brief review of the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of the real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that - depending on the dimension - the real part is either...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211011 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Real Part of Twisted-by-Grading Spectral Triples. Manuele Filaci and Pierre Martinetti. SIGMA 16 (2020), 109, 10 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | After a brief review of the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of the real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that - depending on the dimension - the real part is either twisted as well, or is the intersection of the initial algebra with its opposite. We illustrate this result with the spectral triple of the standard model.
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| ISSN: | 1815-0659 |