38 citations · 109 across the 16 of their papers we have counts for
16 papers
The 8k-3 Instanton
Khaled Abdel-Khalek
We give an explicit parameterization of the general 8k -3 instanton.
Ring Division Algebras, Self-Duality and Supersymmetry
Khaled Abdel-Khalek
We argue that once octonions are formulated as soft Lie algebras, they may be safely used and the non-associativity can be overcame. The necessary points are: (a) Fixing the direct…
Off-Shell Formulation of Simple Supersymmetric Yang-Mills
Khaled Abdel-Khalek
An off-shell formulation for 6 and 10 dimensions simple supersymmetric Yang-Mills theories is presented. While the fermionic fields couple to left action of S^3 and S^7 respectivel…
Algebraic Investigation of the Soft Seven Sphere
Khaled Abdel-Khalek
We investigate the seven sphere as a soft Lie algebra i.e. an algebra with structure functions instead of structure constants. We calculate its structure functions explicitly and a…
Beyond Octonions
Khaled Abdel-Khalek
We investigate Clifford Algebras structure over non-ring division algebras. We show how projection over the real field produces the standard Attiyah-Bott-Shapiro classification.
Towards an octonionic world
S. De Leo, K. Abdel-Khalek
In order to obtain a consistent formulation of octonionic quantum mechanics (OQM), we introduce left-right barred operators. Such operators enable us to find the translation rules…