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- W2150735648 abstract "A novel (to our knowledge) nonassociative Octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket structure involving the octonion algebra. The ternary bracket was defined earlier by Yamazaki. The antisymmetric rank-two field strength Fµ is defined in terms of the ternary-bracket [Bµ,B ,g] involving an auxiliary octonionicvalued coupling g = g a ea . The ternary bracket cannot be rewritten in terms of 2-brackets, [A,B,C] 6 1 [[A,B],C]. It is found that gaugeinvariant matter kinetic terms for an octonionic-valued scalar field can be introduced in the action if one starts instead with an octonionic-valued rank-three antisymmetric field strength Fµ = @ Aµ + [Aµ ,A ,g]+ permutations, which is defined in terms of an antisymmetric tensor field of rank two Aµ = A a ea and Aµ = A aea. We conclude with some preliminary steps towards the construction of generalized ternary gauge field theories involving both 3-Lie algebras and octonions." @default.
- W2150735648 created "2016-06-24" @default.
- W2150735648 creator A5082970311 @default.
- W2150735648 date "2011-05-01" @default.
- W2150735648 modified "2023-10-18" @default.
- W2150735648 title "On Octonionic Nonassociative Ternary Gauge Field Theories" @default.
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