On supersymmetric fermion lattice systems
Mathematical Physics
2015-11-26 v5 math.MP
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.
Cite
@article{arxiv.1001.2622,
title = {On supersymmetric fermion lattice systems},
author = {Hajime Moriya},
journal= {arXiv preprint arXiv:1001.2622},
year = {2015}
}
Comments
46pages; version as to appear in AHP. We discuss fermion lattice systems with hidden supersymmetry