A lattice Poisson algebra for the Pohlmeyer reduction of the AdS_5 x S^5   superstring
  The Poisson algebra of the Lax matrix associated with the Pohlmeyer reduction of the AdS_5 x S^5 superstring is computed from first principles. The resulting non-ultralocality is mild, which enables to write down a corresponding lattice Poisson algebra. 
Francois Delduc, Marc Magro, Benoit Vicedo
hep-th