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.

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Cited by in corpus (54)

• 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
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• One Loop Amplitudes In ABJM
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Two-loop cusp anomaly in ABJM at strong coupling
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Macroscopic (and Microscopic) Massless Modes
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Scattering in ABJ theories
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• The generalised scaling function: a systematic study
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Giant Magnons on CP^3 by Dressing Method
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• Classical and quantum integrability in AdS(2)/CFT(1)
• 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
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• On the Fermionic Frequencies of Circular Strings
• Semiclassical folded string in AdS4 X CP3
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• ABJM Dibaryon Spectroscopy
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• Scattering of Giant Magnons in CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Peculiarities of String Theory on AdS(4) x CP(3)
• The Leading Order Dressing Phase in ABJM Theory
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• Resummation of semiclassical short folded string
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Wrapping effects in supersymmetric gauge theories
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• Giant Spinons
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities