Super Yang-Mills Theory on Noncommutative Torus from Open Strings   Interactions
  Considering the scattering of massless open strings attached to a D2-brane living in the $B$ field background, we show that corresponding scattering upto the order of $\a'^2$ is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket. 
M.M. Sheikh-Jabbari