Large-Spin Expansions of GKP Strings

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.

46 pages, 8 figures; Matches published version; Contains equation (7.3) that gives the finite-size corrections to the dispersion relation of giant magnons at strong coupling

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Cited by in corpus (5)

• Non-Markovian collective emission from macroscopically separated emitters
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Elliptic String Solutions on RxS^2 and Their Pohlmeyer Reduction
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• On interpolating anomalous dimension of twist-two operators with general spins