Authors: Carlos Castro
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 Fμν is defined in terms of the ternary-bracket (... see paper) involving an auxiliary octonionicvalued coupling (...) . The ternary bracket cannot be rewritten in terms of 2-brackets, [A,B,C] ≠ 1/4[[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 (...) permutations, which is defined in terms of an antisymmetric tensor field of rank two (...) and (...) We conclude with some preliminary steps towards the construction of generalized ternary gauge field theories involving both 3-Lie algebras and octonions.
Comments: 11 pages, submitted to Physics Letters B
[v1] 9 May 2011
Unique-IP document downloads: 210 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.