Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3

Abstract

We derive the one-loop correction to the space-time energy of a folded string in AdS_4 x CP^3 carrying spin S in AdS_4 and angular momentum J in CP^3 in the long string approximation. From this general result in the limit J << log S we obtain the one-loop correction to the cusp anomalous dimension which turns out to be -5 log 2/(2π). This value appears to be in conflict with the prediction from the recently conjectured all-loop Bethe ansatz.

22 pages; v2: References added and typos corrected

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• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
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• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
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• Strong coupling limit of Bethe Ansatz equations
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Pure Spinor Formalism for Osp(N|4) backgrounds
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Cited by in corpus (101)

• 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
• Anomalous radius shift in AdS(4)/CFT(3)
• 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
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• 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
• ABJM models in N=3 harmonic superspace
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Structure of large spin expansion of anomalous dimensions at strong coupling
• 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
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Topological branes, p-algebras and generalized Nahm equations
• Beyond cusp anomalous dimension from integrability
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Scattering in ABJ theories
• Non-planar ABJM Theory and Integrability
• Bethe Ansaetze for GKP strings
• Correlation functions of magnon and spike
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• AdS_4 x CP^3 superstring in the light-cone gauge
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• The generalised scaling function: a systematic study
• A note on the reduction of the AdS4 x CP3 string sigma model
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Correlation function of dyonic strings
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• 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 semiclassical calculation of three-point functions in AdS_4 x CP^3
• On the Fermionic Frequencies of Circular Strings
• Finite size effect on the magnon's correlation functions
• Semiclassical folded string in AdS4 X CP3
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• M2-brane Flows and the Chern-Simons Level
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Scattering of Giant Magnons in CP^3
• On the pulsating strings in AdS_4 x CP3
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• The Leading Order Dressing Phase in ABJM Theory
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Peculiarities of String Theory on AdS(4) x CP(3)
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Spin chain for the deformed ABJM theory
• Zero Modes for the Boundary Giant Magnons
• Semiclassical strings in AdS(3) X S^2
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Correlation functions of the ABJM model
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Fermionic reductions of the AdS4 x CP3 superstring
• Giant Spinons
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• ABJM flux-tube and scattering amplitudes
• Wrapping effects in supersymmetric gauge theories
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Quantum dispersion relations for the $Ad{S}_4\times C{P}^3$ GKP string
• Large J expansion in ABJM theory revisited