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Finite quantum geometry, exceptional quantum geometry and fundamental particles
Multi angle
Authors : Dubois-Violette, Michel (Author of the conference)
CIRM (Publisher )
17C40 - Exceptional Jordan structures
17C90 - Applications to physics
81R10 - Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations
20G41 81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
CIRM (Publisher )
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Abstract :
We show that the spectrum of fundamental particles of matter and their symmetries can be encoded in a finite quantum geometry equipped with a supplementary structure connected with the quark-lepton symmetry. The occurrence of the exceptional quantum geometry for the description of the standard model with 3 generations is suggested. We discuss the field theoretical aspect of this approach taking into account the theory of connections on the corresponding Jordan modules.
Keywords : Jordan algebras; quantum spaces; exceptional groups
MSC Codes : Keywords : Jordan algebras; quantum spaces; exceptional groups
17C40 - Exceptional Jordan structures
17C90 - Applications to physics
81R10 - Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, W-algebras and other current algebras and their representations
20G41 81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 06/12/2019 Conference Date : 14/11/2019 Subseries : Research talks arXiv category : Quantum Algebra ; High Energy Physics ; Mathematical Physics ; Rings and Algebras ; General Relativity and Quantum Cosmology Mathematical Area(s) : Algebra ; Algebraic & Complex Geometry ; Lie Theory and Generalizations ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:47:25 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-14_Dubois-Violette.mp4 
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Information on the Event
Event Title : Workshop on Differential Geometry and Nonassociative Algebras / Colloque en géométrie différentielle et algèbres non associativesEvent Organizers : Albuquerque, Helena ; Benayadi, Saïd ; Boucetta, Mohamed ; Makhlouf, Abdenacer Dates : 12/11/2019 - 16/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2076.html
Citation Data
DOI : 10.24350/CIRM.V.19577703Cite this video as: Dubois-Violette, Michel (2019). Finite quantum geometry, exceptional quantum geometry and fundamental particles. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19577703 URI : http://dx.doi.org/10.24350/CIRM.V.19577703 |
See Also
- [Multi angle] Closed $G_{2}$-structures / Author of the conference Fino, Anna.
- [Post-edited] Triality / Author of the conference Elduque, Alberto.
- [Multi angle] On the geometry of noncommutative deformations / Author of the conference Boucetta, Mohamed.
- [Multi angle] Noncommutative localization in smooth Deformation quantization / Author of the conference Bordemann, Martin.
Bibliography
