  We study deformations of maximally supersymmetric gauge theories by higher
dimensional operators in various spacetime dimensions. We classify
infinitesimal deformations that preserve all 16 supersymmetries, while allowing
the possibility of breaking either Lorentz or R-symmetry, using an on-shell
algebraic method developed by Movshev and Schwarz. We also consider the problem
of extending the deformation beyond the first order.
