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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Role of division algebra in seven-dimensional gauge theory

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Author(s):
Kalauni, Pushpa [1] ; Barata, J. C. A. [1]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: MODERN PHYSICS LETTERS A; v. 30, n. 10 MAR 28 2015.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 13/08090-9 - Generalized Octonions and their applications to higher dimensional Physics
Grantee:Pushpa
Support Opportunities: Scholarships in Brazil - Post-Doctoral