Speaker: Hajime Moriya (Shibaura Inst. Tech.)
Title: On supersymmetric C*-dynamical systems
Time/Date: 4:45-6:00, Wed. June 25, 2014
Abstract: We study supersymmetric C*-dynamical systems. We give a general C*-algebraic formulation of supersymmetric fermion models on an infinite lattice. This produces some concrete examples such as the early SUSY fermion lattice model by Nicolai (in 1976) and also the model proposed by Fendley recently. Mathematically we show conditions for nilpotency and norm closability of superderivations on the fermion lattice system. If time permits, we address some new results on the C*-algebraic free supersymmetric field model by Buchholz and Grundling.