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SUMMARY:Alessio Marrani (University of Hertfordshire\, UK)
DTSTART:20250922T150000Z
DTEND:20250922T160000Z
DTSTAMP:20260423T035939Z
UID:ENAAS/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/141/">
 Okubo Algebra: a new approach to Quantum Chromodynamics?</a>\nby Alessio M
 arrani (University of Hertfordshire\, UK) as part of European Non-Associat
 ive Algebra Seminar\n\n\nAbstract\nThis talk discusses the possible releva
 nce of the Okubonions (i.e. the real Okubo algebra) in quantum chromodynam
 ics (QCD). We start and present the Okubonions within the 8-dimensional re
 al division composition algebras\, and then discuss their realization as t
 he traceless cubic simple Jordan algebra over the complex numbers\, endowe
 d with a suitable deformation of the Michel-Radicati product. The Okubonio
 ns lack a unit element and exhibit the unique feature of sitting in the ad
 joint representation of their automorphism group SU(3)\; in this respect\,
  they are fundamentally different from the better-known Octonions. While t
 hese latter may represent quarks (and singlets of the QCD SU(3) color gaug
 e group)\, the Okubonions are conjectured to represent the gluons\, i.e. t
 he gauge bosons of the colour group. However\, it is remarked that the SU(
 3) groups pertaining to Okubonions and Octonions are distinct and inequiva
 lent subgroups of Spin(8) that share no common SU(2) subgroup. Main refere
 nce : arXiv:2309.17435 [hep-th]\n
LOCATION:https://researchseminars.org/talk/ENAAS/141/
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