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Resurgence of the dressing phase for AdS5 × S5.

Arutyunov, G. and Dorigoni, D. and Savin, S. (2017) 'Resurgence of the dressing phase for AdS5 × S5.', Journal of high energy physics., 2017 (01). 055.


We discuss the resummation of the strong coupling asymptotic expansion of the dressing phase of the AdS5 × S5 superstring. The dressing phase proposed by Beisert, Eden and Staudacher can be recovered from a modified Borel-Ecalle resummation of this asymptotic expansion only by completing it with new, non-perturbative and exponentially suppressed terms that can be organized into different sectors labelled by an instanton-like number. We compute the contribution to the dressing phase coming from the sum over all the instanton sectors and show that it satisfies the homogeneous crossing symmetry equation. We comment on the semiclassical origin of the non-perturbative terms from the world-sheet theory point of view even though their precise explanation remains still quite mysterious.

Item Type:Article
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Publisher statement:Open Access, © The Author(s). 2017 Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:16 December 2016
Date deposited:06 March 2017
Date of first online publication:13 January 2017
Date first made open access:06 March 2017

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