Abstract
We generalize the initial steps of the Faddeev-Reshetikhin procedure to the AdS5 × S 5 superstring theory. Specifically, we propose a modification of the Poisson bracket whose alleviated non-ultralocality enables to write down a lattice Poisson algebra for the Lax matrix. We then show that the dynamics of the Pohlmeyer reduction of the AdS5 × 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 σ- models. It also shows that the lattice Poisson algebra recently obtained for the AdS5 × S 5 semi-symmetric space sine-Gordon theory coincides with the one obtained by the alleviation procedure.
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ArXiv ePrint: 1206.6050
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Delduc, F., Magro, M. & Vicedo, B. Alleviating the non-ultralocality of the AdS5 × S5 superstring. J. High Energ. Phys. 2012, 61 (2012). https://doi.org/10.1007/JHEP10(2012)061
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DOI: https://doi.org/10.1007/JHEP10(2012)061