Non-associative Gauge Theory
Ootsuka, Takayoshi ; Tanaka, Erico ; Loginov, Eugene
arXiv, 0512349 / Harvested from arXiv
Text on arXiv
We present a construction of gauge theory which its structure group is not a Lie group, but a Moufang loop which is essentially non-associative. As an example of non-associative algebra, we take octonions with norm one as a Moufang loop, with which we can produce an octonionic gauge theory. Our octonionic gauge theory is a natural generalization of Maxwell U(1)= S^1 gauge theory and Yang-Mills SU(2)= S^3 gauge theory. We also give the BPST like instanton solution of our octonionic gauge theory in 8 dimension.
Publié le : 2005-12-30
Classification:  High Energy Physics - Theory,  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0512349,
     author = {Ootsuka, Takayoshi and Tanaka, Erico and Loginov, Eugene},
     title = {Non-associative Gauge Theory},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512349}
}

Ootsuka, Takayoshi; Tanaka, Erico; Loginov, Eugene. Non-associative Gauge Theory. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512349/