Spinning strings at one-loop in AdS_4 x P^3

Abstract

We analyze the folded spinning string in AdS_4 x P^3 with spin S in AdS_4 and angular momentum J in P^3. We calculate the one-loop correction to its energy in the scaling limit of both ln S and J large with their ratio kept fixed. This result should correspond to the first subleading strong coupling correction to the anomalous dimension of operators of the type Tr(D^S(Y^\dagger Y)^J) in the dual N=6 Chern-Simons-matter theory. Our result appears to depart from the predictions for the generalized scaling function found from the all-loop Bethe equations conjectured for this AdS_4/CFT_3 duality. We comment on the possible origin of this difference.

24 pages; v2: References added and typos corrected

References in corpus (56)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Gluon scattering amplitudes at strong coupling
• A semi-classical limit of the gauge/string correspondence
• Modeling Multiple M2's
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Comments on Multiple M2-branes
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Multi-spin string solutions in AdS_5 x S^5
• Multi-loop Amplitudes and Resummation
• Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
• Structure functions for large $x$ and renormalization of Wilson loops
• Superconformal Chern-Simons Theories
• Comments on operators with large spin
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Quantum corrections to the string Bethe ansatz
• The Bethe ansatz for superconformal Chern-Simons
• Membranes on an Orbifold
• Selfdual strings and loop space Nahm equations
• Quantizing three-spin string solution in AdS_5 x S^5
• A note on twist two operators in N=4 SYM and Wilson loops in Minkowski signature
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• High energy scattering in QCD and cross singularities of Wilson loops
• M2-branes on M-folds
• The AdS4/CFT3 algebraic curve
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Vacua of M-theory and string theory
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• The M-Theory Two-Brane in AdS_4 x S^7 and AdS_7 x S^4
• Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
• On near forward high energy scattering in QCD
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• Light-Cone Wilson Loops and the String/Gauge Correspondence
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Comment on the Scaling Function in AdS4 x CP3
• Gauge Invariance and Anomalous Dimensions of a Light-Cone Wilson Loop in Light-Like Axial Gauge
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• Semi-classical strings in AdS_4*CP^3
• Scaling function in AdS/CFT from the O(6) sigma model
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Spiky Strings on AdS(4) X CP**3
• On dilaton dependence of type II superstring action
• Generalized Scaling Function at Strong Coupling
• Finite-size effects of Membranes on AdS_4 x S_7

Cited by in corpus (97)

• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^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
• 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
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Scattering in ABJ theories
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Non-planar ABJM Theory and Integrability
• 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
• 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
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• 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
• A note on the reduction of the AdS4 x CP3 string sigma model
• The generalised scaling function: a systematic study
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• 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
• Classical and quantum integrability in AdS(2)/CFT(1)
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• 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
• 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
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• On the pulsating strings in AdS_4 x CP3
• Scattering of Giant Magnons in CP^3
• 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
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• The Leading Order Dressing Phase in ABJM Theory
• Peculiarities of String Theory on AdS(4) x CP(3)
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Spin chain for the deformed ABJM theory
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• 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
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Correlation functions of the ABJM model
• Giant Spinons
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• Wrapping effects in supersymmetric gauge theories
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• ABJM flux-tube and scattering amplitudes
• Fermionic reductions of the AdS4 x CP3 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