  Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any
value of the coupling. Lattice regularization breaks conformality through the
introduction of a non-zero lattice spacing and a finite lattice volume. This
proceedings presents ongoing numerical computations of conformal scaling
dimensions in lattice N=4 SYM, based on a lattice formulation that exactly
preserves a supersymmetry sub-algebra at non-zero lattice spacing. The main
targets are the non-trivial anomalous dimension of the Konishi operator, as
well as a mass anomalous dimension extracted from the eigenvalue mode number of
the fermion operator. The latter is expected to vanish in the conformal
continuum theory, providing insight into the interplay of lattice
discretization and conformality.
