Generalized Octonions and their applications to higher dimensional Physics

• Grant number: 13/08090-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2013
• End date: August 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: João Carlos Alves Barata
• Grantee: Pushpa
• Host 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

(7)

(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)

DAS, ASHOK K.; KALAUNI, PUSHPA. Proper time method in de Sitter space. Physical Review D, v. 92, n. 10, NOV 23 2015. (13/08090-9)

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. (13/08090-9)

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. (13/08090-9)

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. (13/08090-9)

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. (13/08090-9)

DAS, ASHOK K.; KALAUNI, PUSHPA. Proper time method in de Sitter space. PHYSICAL REVIEW D, v. 92, n. 10, p. 7-pg., 2015-11-23. (13/08090-9)

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, p. 7-pg., 2015-12-15. (13/08090-9)