Comment on the Scaling Function in AdS4 x CP3

Abstract

The folded spinning string in AdS3 gives us an important insight into AdS/CFT duality. Recently its one-loop energy was analyzed in the context of AdS4/CFT3 by McLoughlin and Roiban arXiv:0807.3965, by Alday, Arutyunov and Bykov arXiv:0807.4400 and by Krishnan arXiv:0807.4561. They computed the spectrum of the fluctuations around the classical solution. In this paper we reproduce their results using the algebraic curve technique and show that under some natural resummation of the fluctuation energies the one-loop energy agrees perfectly with the predictions of arXiv:0807.0777. This provides a further support of the all-loop Bethe equations and of the AdS4xCP3 algebraic curve developed in arXiv:0807.0437.

references added

References in corpus (26)

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• Comments on operators with large spin
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Cited by in corpus (12)

• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Spinning strings at one-loop in AdS_4 x P^3
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Giant Magnons on CP^3 by Dressing Method
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory