2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103356We 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.Summary of lectures given at the Summer Institute 2005 Fuji-Yoshida, Japan August 11-18, 2005High Energy Physics - Latticetext