This is an important and interesting issue, which perhaps does not get enough love, so I was happy to see this discussion of chiral gauge theories on the lattice. There will be a followup tomorrow (update: here it is), I’d be also happy to hear about lattice supersymmetry, something I was pretty interested in a while back.
Update: For a not so recent reference on the subject, look at Martin Luscher’s lectures. More recent references, if some readers can think of any, would be appreciated.
Another update: There will be a guest post here on lattice supersymmetry in the near future, stay tuned.