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arXiv · 1311.5800

Large-Spin Expansions of GKP Strings

Emmanuel Floratos·George Georgiou·Georgios Linardopoulos
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Abstract

We demonstrate that the large-spin expansion of the energy of Gubser-Klebanov-Polyakov (GKP) strings that rotate in RxS2 and AdS3 can be expressed in terms of Lambert's W-function. We compute the leading, subleading and next-to-subleading series of exponential corrections to the infinite-volume dispersion relation of GKP strings that rotate in RxS2. These strings are dual to certain long operators of N=4 SYM theory and provide their scaling dimensions at strong coupling. We also show that the strings obey a short-long (strings) duality. For the folded GKP strings that spin inside AdS3 and are dual to twist-2 operators, we confirm the known formulas for the leading and next-to-leading coefficients of their anomalous dimensions and derive the corresponding expressions for the next-to-next-to-leading coefficients.

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Emmanuel Floratos, George Georgiou, Georgios Linardopoulos. 2013-11-22. Large-Spin Expansions of GKP Strings. https://doi.org/10.1007/jhep03(2014)018

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