6 papers · 1 filter
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…
The Compatibility between the Higher Dimensions Self Duality and the Yang-Mills Equation of Motion
Khaled Abdel-Khalek
We study the compatiblity between the higher dimension dualities and the Yang-Mills equation of motion. Taking a 't Hooft solution as a starting point, we come to the conclusion th…
The Ring Division Self Duality
Khaled Abdel-Khalek
We present a simple construction of the instantonic type equation over octonions where its similarities and differences with the quaternionic case are very clear. We use the unifie…
The Super P-Brane Scan and S Duality
Khaled Abdel-Khalek
Taking into account the recent dualities we rederive the super p-brane scan. Our main results are the importance of the metric's signature and the existence of an S self-dual super…