Quantum Gravity and String Theory

    

Octonionic Ternary Gauge Field Theories Revisited

Authors: Carlos Castro

An octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket defined earlier by Yamazaki. The ternary infinitesimal gauge transformations do obey the key $closure$ relations $ [ \delta_1, \delta_2] = \delta_3 $. An invariant action for the octonionic-valued gauge fields is displayed after solving the previous problems in formulating a non-associative octonionic ternary gauge field theory. These octonionc ternary gauge field theories constructed here deserve further investigation. In particular, to study their relation to Yang-Mills theories based on the $G_2$ group which is the automorphism group of the Octonions and their relevance to Noncommutative and Nonassociative Geometry.

Comments: 15 Pages. Submitted to Int. J. Geom. Mod. Phys

Download: PDF

Submission history

[v1] 2013-05-28 06:14:21
[v2] 2013-07-05 04:11:22

Unique-IP document downloads: 664 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.

comments powered by Disqus