On Chiral and Nonchiral 1D Supermultiplets
  In this talk I discuss and clarify some issues concerning chiral and nonchiral properties of the one-dimensional supermultiplets of the N-Extended Supersymmetry. Quaternionic chirality can be defined for N=4,5,6,7,8. Octonionic chirality for N=8 and beyond. Inequivalent chiralities only arise when considering several copies of N=4 or N=8 supermultiplets. 
Francesco Toppan
hep-th math-ph math.MP