Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-16
PoSIC2006:033,2006
Physics
High Energy Physics
High Energy Physics - Theory
16 pages. Talk given at the Fifth International Conference on Mathematical Methods in Physics IC2006, April 24-28 2006, CBPF,
Scientific paper
The complete classification of the irreducible representations of the N-extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields is presented. Off-shell invariant actions of one-dimensional supersymmetric sigma models are constructed. The role of both Clifford algebras and the Cayley-Dickson's doublings of algebras in association with the N-extended supersymmetries is discussed. We prove in specific examples that the octonionic structure constants enter the N=8 invariant actions as coupling constants. We further explain how to relate one-dimensional supersymmetric quantum mechanical systems to the dimensional reduction of higher-dimensional supersymmetric theories.
No associations
LandOfFree
Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-244772