On supersymmetric fermion lattice systems
arXiv:1001.2622
Abstract
We provide a mathematically rigorous framework for supersymmetric fermion lattice systems. We construct supersymmetric C*-dynamics in terms of a nilpotent superderivation and a one-parameter group of automorphisms on the CAR-algebra. (We do not make use of Grassmann numbers.) We establish several basic properties of superderivations on the fermion lattice system. Among others, we obtain a criterion of superderivations to yield supersymmetic dynamics.
46pages; version as to appear in AHP. We discuss fermion lattice systems with hidden supersymmetry