Research output: Working paper

**Alleviating the non-ultralocality of the AdS_5 x S^5 superstring.** / Delduc, Francois; Magro, Marc; Vicedo, Benoit.

Research output: Working paper

Delduc, F, Magro, M & Vicedo, B 2012 'Alleviating the non-ultralocality of the AdS_5 x S^5 superstring' Journal of High Energy Physics. <http://arxiv.org/abs/1206.6050>

Delduc, F., Magro, M., & Vicedo, B. (2012). *Alleviating the non-ultralocality of the AdS_5 x S^5 superstring*. Journal of High Energy Physics. http://arxiv.org/abs/1206.6050

Delduc F, Magro M, Vicedo B. Alleviating the non-ultralocality of the AdS_5 x S^5 superstring. Journal of High Energy Physics. 2012 Oct 12.

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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",

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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 - Working paper

VL - 1210

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

PB - Journal of High Energy Physics

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