Authors: Carlos Castro
A novel (to our knowledge) nonassociative and noncommutative octonionic ternary gauge field theory is explicitly constructed that it is based on a ternary-bracket structure involving the octonion algebra. The ternary bracket was defined earlier by Yamazaki. The field strengths Fμν are given in terms of the 3-bracket [Bμ,Bν, Φ] involving an auxiliary octonionic-valued scalar field Φ = Φaea which plays the role of a "coupling" function. In the concluding remarks a list of relevant future investigations are briefly outlined.
Comments: 20 pages, submitted to J. Phys. A : Math and Theor.
Unique-IP document downloads: 243 times
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.