Non-local Field Theories and the Non-commutative Torus
  We argue that by taking a limit of SYM on a non-commutative torus one can obtain a theory on non-compact space with a finite non-locality scale. We also suggest that one can also obtain a similar generalization of the (2,0) field theory in 5+1 dimensions, and that the DLCQ of this theory is known. 
Micha Berkooz