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4 papers · 2 filters
Lattice Sigma Models with Exact Supersymmetry
Simon Catterall, Sofiane Ghadab
We show how to construct lattice sigma models in one, two and four dimensions which exhibit an exact fermionic symmetry. These models are discretized and {\it twisted} versions of…
Exact Lattice Supersymmetry from Topological Field Theory
Simon Catterall
We discuss the connection between supersymmetric field theories and topological field theories and show how this connection may be used to construct local lattice field theories wh…
A lattice study of the two-dimensional Wess Zumino model
Simon Catterall, Sergey Karamov
We present results from a numerical simulation of the two-dimensional Euclidean Wess-Zumino model. In the continuum the theory possesses N=1 supersymmetry. The lattice model we emp…
Lattice Supersymmetry and Topological Field Theory
Simon Catterall
It is known that certain theories with extended supersymmetry can be discretized in such a way as to preserve an exact fermionic symmetry. In the simplest model of this kind, we sh…