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Generalized Octonions and their applications to higher dimensional Physics

Grant number: 13/08090-9
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
Grantee:Pushpa
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

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.

Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
KALAUNI, PUSHPA; KUMAR, ASHOK; BARATA, J. C. A. Generalization of coherent state quantization in higher dimensional de Sitter space. Physical Review D, v. 92, n. 12 DEC 15 2015. Web of Science Citations: 0.
DAS, ASHOK K.; KALAUNI, PUSHPA. Proper time method in de Sitter space. Physical Review D, v. 92, n. 10 NOV 23 2015. Web of Science Citations: 1.
KALAUNI, PUSHPA; BARATA, J. C. A. Role of division algebra in seven-dimensional gauge theory. MODERN PHYSICS LETTERS A, v. 30, n. 10 MAR 28 2015. Web of Science Citations: 0.
KALAUNI, PUSHPA; BARATA, J. C. A. Reconstruction of symmetric Dirac-Maxwell equations using nonassociative algebra. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, v. 12, n. 3 MAR 2015. Web of Science Citations: 3.
DAS, ASHOK K.; KALAUNI, PUSHPA. Supersymmetry, shape invariance and the solubility of the hypergeometric equation. MODERN PHYSICS LETTERS A, v. 30, n. 6 FEB 28 2015. Web of Science Citations: 1.

Please report errors in scientific publications list by writing to: cdi@fapesp.br.