Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-10-07
Physics
High Energy Physics
High Energy Physics - Lattice
Summary of lectures given at the Summer Institute 2005 Fuji-Yoshida, Japan August 11-18, 2005
Scientific paper
We describe a new approach to the problem of putting supersymmetric theories on the lattice. The basic idea is to discretize a {\it twisted} formulation of the supersymmetric theory. For certain theories with extended supersymmetry these twisted formulations contain only integer spin fields. The twisting exposes a scalar nilpotent supercharge which generates an exact lattice symmetry. We gives examples from quantum mechanics, sigma models and Yang-Mills theories.
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