N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations

Abstract

We propose the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS_4/CFT_3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.

minor improvements and references added; 12 pages

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Cited by in corpus (110)

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• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
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• All-loop Bethe ansatz equations for AdS3/CFT2
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• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
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• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• 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
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• One Loop Amplitudes In ABJM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• A Nonperturbative Test of M2-Brane Theory
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Topological branes, p-algebras and generalized Nahm equations
• Continuum limit of fishnet graphs and AdS sigma model
• Superstrings on AdS_4 x CP^3 from Supergravity
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Exact S-matrices for AdS_3/CFT_2
• Non-planar ABJM Theory and Integrability
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Correlation functions of magnon and spike
• Bethe Ansaetze for GKP strings
• Lectures on S-matrices and Integrability
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• On the Exact Interpolating Function in ABJ Theory
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• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• On wrapping corrections to GKP-like operators
• Correlation function of dyonic strings
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• 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
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• The generalised scaling function: a systematic study
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• 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
• Numerical results for the exact spectrum of planar AdS4/CFT3
• 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
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Finite size effect on the magnon's correlation functions
• Semiclassical folded string in AdS4 X CP3
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• The Semi-Classical Spectrum of Solitons and Giant Magnons
• Factorized Tree-level Scattering in AdS_4 x CP^3
• M2-brane Flows and the Chern-Simons Level
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Quantum finite-size effects for dyonic magnons in the 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 ?
• The Morphology of N=6 Chern-Simons Theory
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
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• Scattering of Giant Magnons in CP^3
• ABJM quantum spectral curve and Mellin transform
• Two-Loop Spectroscopy of Short ABJM Operators
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Peculiarities of String Theory on AdS(4) x CP(3)
• The Leading Order Dressing Phase in ABJM Theory
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• Zero Modes for the Boundary Giant Magnons
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• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
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• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Integrable Open Spin Chains from Flavored ABJM Theory
• Integrability of N = 6 Chern-Simons Theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Y-system for $\gamma$-deformed ABJM Theory
• On the absence of reflection in AdS4/CFT3
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Correlation functions of the ABJM model
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Wrapping effects in supersymmetric gauge theories
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• On analytical perturbative solution of ABJM quantum spectral curve
• Giant Spinons
• Exact results for the low energy AdS(4)XCP(3) string theory
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Boundary bound states and integrable Wilson loops in ABJM
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Some semiclassical structure constants for AdS_4 x CP^3