the complexification of the exceptional Jordan algebra and applications to particle physics
Keyword(s):
Abstract Recent papers of Todorov and Dubois-Violette[4] and Krasnov[7] contributed revitalizing the study of the exceptional Jordan algebra h3(O) in its relations with the true Standard Model gauge group GSM. The absence of complex representations of F4 does not allow Aut (h3 (O)) to be a candidate for any Grand Unified Theories, but the group of automorphisms of the complexification of this algebra isisomorphic to the compact form of E6. Following Boyle in [12], it is then easy to show that the gauge group of the minimal left-right symmetric extension of the Standard Model is isomorphic to a proper subgroup of Aut(C⊗h3(O))
2007 ◽
Vol 22
(19)
◽
pp. 3229-3259
◽
2016 ◽
Vol 31
(33)
◽
pp. 1644011
◽
Keyword(s):
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
◽
1991 ◽
Vol 336
(1642)
◽
pp. 247-259
◽
2005 ◽
Vol 20
(18)
◽
pp. 4241-4257
◽
Keyword(s):
2001 ◽
Vol 34
(15)
◽
pp. 3309-3324
◽
2018 ◽
Vol 33
(31)
◽
pp. 1844007
◽
2017 ◽
Vol 32
(19)
◽
pp. 1730018
◽
Keyword(s):