@techreport{4b03d5232db045c8a5b36002f459a556, title = "Alleviating the non-ultralocality of the AdS_5 x S^5 superstring", abstract = "We generalize the initial steps of the Faddeev-Reshetikhin procedure to the AdS_5 x S^5 superstring theory. Specifically, we propose a modification of the Poisson bracket whose alleviated non-ultralocality enables to write down a lattice algebra for the Lax matrix. We then show that the dynamics of the Pohlmeyer reduction of the AdS_5 x S^5 superstring can be naturally reproduced with respect to this modified Poisson bracket. This work generalizes the alleviation procedure recently developed for symmetric space sigma-models. It also shows that the lattice algebra recently obtained for the AdS_5 x S^5 semi-symmetric space sine-Gordon theory coincides with the one obtained by the alleviation procedure.", author = "Francois Delduc and Marc Magro and Benoit Vicedo", note = "18 pages", year = "2012", month = oct, day = "12", language = "English", volume = "1210", publisher = "Journal of High Energy Physics", type = "WorkingPaper", institution = "Journal of High Energy Physics", }