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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2020 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211011 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Real Part of Twisted-by-Grading Spectral Triples. Manuele Filaci and Pierre Martinetti. SIGMA 16 (2020), 109, 10 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730458858520576 |
|---|---|
| author | Filaci, Manuele Martinetti, Pierre |
| author_facet | Filaci, Manuele Martinetti, Pierre |
| citation_txt | Real Part of Twisted-by-Grading Spectral Triples. Manuele Filaci and Pierre Martinetti. SIGMA 16 (2020), 109, 10 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-04-17T15:03:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211011 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T15:03:16Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Filaci, Manuele Martinetti, Pierre 2025-12-22T09:28:08Z 2020 Real Part of Twisted-by-Grading Spectral Triples. Manuele Filaci and Pierre Martinetti. SIGMA 16 (2020), 109, 10 pages 1815-0659 2020 Mathematics Subject Classification: 58B34; 46L87; 81T75 arXiv:2010.15367 https://nasplib.isofts.kiev.ua/handle/123456789/211011 https://doi.org/10.3842/SIGMA.2020.109 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Real Part of Twisted-by-Grading Spectral Triples Article published earlier |
| spellingShingle | Real Part of Twisted-by-Grading Spectral Triples Filaci, Manuele Martinetti, Pierre |
| title | Real Part of Twisted-by-Grading Spectral Triples |
| title_full | Real Part of Twisted-by-Grading Spectral Triples |
| title_fullStr | Real Part of Twisted-by-Grading Spectral Triples |
| title_full_unstemmed | Real Part of Twisted-by-Grading Spectral Triples |
| title_short | Real Part of Twisted-by-Grading Spectral Triples |
| title_sort | real part of twisted-by-grading spectral triples |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211011 |
| work_keys_str_mv | AT filacimanuele realpartoftwistedbygradingspectraltriples AT martinettipierre realpartoftwistedbygradingspectraltriples |