Supersymmetry in complex space-time

摘要

An interconnection between superluminal transformation and supersymmetric transformations has been investigated in complex C~3-space and the evolution of bosonic and fermionic subspaces in such space has been undertaken. Introducing the suitable anticommuting operators to induce grading in Poincare group in C~3-space in terms of components of complex angular momentum operator, the supersymmetric algebra connecting bradyonic and tachyonic bosons and fermions has been constructed and it has been demonstrated that the difference between scales of bosonic and fermionic subspaces in C~3-space increases quickly in spite of their closeness initially.