Real Part of Twisted-by-Grading Spectral Triples

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Filaci, Manuele, Martinetti, Pierre
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211011
• 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

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...