Alleviating the non-ultralocality of the AdS_5 x S^5 superstring

Research output: Working paper



Publication details

DatePublished - 12 Oct 2012
PublisherJournal of High Energy Physics
Number of pages18
Original languageEnglish


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.

Bibliographical note

18 pages


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