Quantum Gravity and String Theory

   

Nonassociative Octonionic Ternary Gauge Field Theories

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.

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Submission history

[v1] 27 Nov 2010
[v2] 14 Dec 2010

Unique-IP document downloads: 246 times

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