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I will briefly review the construction of lattice Yang Mills theories
which exhibit invariance under one or more twisted supersymmetries at
non zero lattice spacing focusing in particular on a lattice model which
targets N=4 YM in the naive continuum limit. I will show that the
structure of the lattice model is remarkably similar to its continuum
counterpart; the moduli space is not lifted to all orders in
perturbation theory and the one loop beta function vanishes. I will then
describe how the model may be simulated using standard Monte Carlo
techniques borrowed from lattice QCD and hence how lattice studies can
be used to probe the non perturbative structure of the theory and test
aspects of the AdS/CFT correspondence.
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