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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1016/0197-2456(93)90054-h

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1029-8479

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Quantum folded string and integrability from fini

Authors: Nikolay Gromov Didina Serban Igor Shenderovich Dmytro Volin
Publish Date: 2011/08/11
Volume: 2011, Issue: 8, Pages: 46-
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Abstract

Using the algebraic curve approach we oneloop quantize the folded string solution for the type IIB superstring in AdS 5 × S 5 We obtain an explicit result valid for arbitrary values of its Lorentz spin S and Rcharge J in terms of integrals of elliptic functions Then we consider the limit S ~ J ~ 1 and derive the leading three coefficients of strong coupling expansion of short operators Notably our result evaluated for the anomalous dimension of the Konishi state gives 2λ 1/4 − 4 + 2/λ 1/4 This reproduces correctly the values predicted numerically in arXiv09064240 Furthermore we compare our result using some new numerical data from the Ysystem for another similar state We also revisited some of the large S computations using our methods In particular we derive finitesize corrections to the anomalous dimension of operators with small J in this limitThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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