I discuss a new method for constructing Euclidean spacetime lattices whose continuum limits are supersymmetric Yang-Mills theories in various dimensions with four, eight or sixteen supercharges. The lattice actions respect a subset of the supersymmetries of the target theories, greatly reducing or entirely eliminating the need to fine tune the couplings in order to obtain the desired continuum limit. Such lattices may be useful both for numerical and analytical study of these fascinating continuum theories.
