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

TY - UNPB

T1 - Alleviating the non-ultralocality of the AdS_5 x S^5 superstring

AU - Delduc, Francois

AU - Magro, Marc

AU - Vicedo, Benoit

N1 - 18 pages

PY - 2012/10/12

Y1 - 2012/10/12

N2 - 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.

AB - 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.

M3 - Preprint

VL - 1210

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

PB - Journal of High Energy Physics

ER -