|Support type:||Scholarships in Brazil - Post-Doctorate|
|Effective date (Start):||September 01, 2013|
|Effective date (End):||August 31, 2015|
|Field of knowledge:||Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields|
|Principal Investigator:||João Carlos Alves Barata|
|Home Institution:||Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil|
The proposal involves the study of algebras of quaternions and octonions and their applications to Physics. Starting with the description of generalized octonions and split octonions, we would like to describe electromagnetism and the Lorentz transformation in the ten-dimensional space time. The proposed study will provide a basis for the further investigation of super-symmetry and super string theory.