Role of division algebra in seven-dimensional gauge theory

Autor(es)

Kalauni, Pushpa ^[1] ; Barata, J. C. A. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MODERN PHYSICS LETTERS A; v. 30, n. 10 MAR 28 2015.
• Citações Web of Science: 0

Resumo

The algebra of octonions O forms the largest normed division algebra over the real numbers R, complex numbers C and quaternions H. The usual three-dimensional vector product is given by quaternions, while octonions produce seven-dimensional vector product. Thus, octonionic algebra is closely related to the seven-dimensional algebra, therefore one can extend generalization of rotations in three dimensions to seven dimensions using octonions. An explicit algebraic description of octonions has been given to describe rotational transformation in seven-dimensional space. We have also constructed a gauge theory based on non-associative algebra to discuss Yang-Mills theory and field equation in seven-dimensional space. (AU)

• Processo FAPESP: 13/08090-9 - Octonions generalizados e suas aplicações para a Física de altas dimensiões
• Beneficiário: Pushpa
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado