2010/01/15 by Hajime Moriya, Moriya, Hajime
Mathematics · Physics and Astronomy · #47L90 #81T05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:47L90 #msc:81T05
paper · pdf · doi:10.48550/arxiv.1001.2622
46pages; version as to appear in AHP. We discuss fermion lattice systems with hidden supersymmetry
arxiv created 2015/11/25 · arxiv updated 2015/11/26
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.