Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory

Abstract

In this note we study spin chain operators in the N=6 Chern-Simons-matter theory recently proposed by Aharony, Bergman, Jafferis and Maldacena to be dual to type IIA string theory in AdS4xCP3. We study the two-loop dilatation operator in the gauge theory, and compare to the Penrose limit on the string theory side.

19 pages, 15 figures; minor corrections, references added

References in corpus (29)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Giant Magnons
• The su(2|2) Dynamic S-Matrix
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Notes on Superconformal Chern-Simons-Matter Theories
• Superconformal Chern-Simons Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The Bethe ansatz for superconformal Chern-Simons
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Fivebranes from gauge theory
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Two-Loop Analysis of Non-abelian Chern-Simons Theory
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• M2-branes on M-folds
• One-loop corrections to Bagger-Lambert theory
• Supergravity pp-wave solutions with 28 and 24 supercharges
• Type IIA String and Matrix String on PP-wave
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories
• N=(4,4) Type IIA String Theory on PP-Wave Background
• A pp-Wave With 26 Supercharges
• Nonrenormalization Theorem for Gauge Coupling in 2+1D

Cited by in corpus (128)

• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• A supermatrix model for N=6 super Chern-Simons-matter theory
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• 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)
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Exciting the GKP string at any coupling
• A Spin Chain for the Symmetric Product CFT_2
• Towards integrability for AdS3/CFT2
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• New supersymmetric Wilson loops in ABJ(M) theories
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• ABJM models in N=3 harmonic superspace
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• (Non)-Integrability of Geodesics in D-brane Backgrounds
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Vortex Loop Operators, M2-branes and Holography
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• One Loop Amplitudes In ABJM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Towards the exact Bremsstrahlung function of ABJM theory
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Two-loop cusp anomaly in ABJM at strong coupling
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Marginal Deformations and 3-Algebra Structures
• Exact Bremsstrahlung functions in ABJM theory
• Vortex-type Half-BPS Solitons in ABJM Theory
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• Scattering in ABJ theories
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Correlation functions of magnon and spike
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• A New and Elementary CP^n Dyonic Magnon
• 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
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• An all order identity between ABJM and N=4 SYM four-point amplitudes
• More Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Dressed Giant Magnons on CP^3
• Giant Magnons on CP^3 by Dressing Method
• Classical and quantum integrability in AdS(2)/CFT(1)
• String theory duals of Wilson loops from Higgsing
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Numerical results for the exact spectrum of planar AdS4/CFT3
• 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
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• Semiclassical folded string in AdS4 X CP3
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The Relativistic Avatars of Giant Magnons and their S-Matrix
• Wilson-loop One-point Functions in ABJM Theory
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Penrose limits and spin chains in the GJV/CS-SYM duality
• The Semi-Classical Spectrum of Solitons and Giant Magnons
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• On the pulsating strings in AdS_4 x CP3
• On three-point functions in ABJM and the latitude Wilson loop
• ABJM quantum spectral curve and Mellin transform
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• Two-Loop Spectroscopy of Short ABJM Operators
• Scattering of Giant Magnons in CP^3
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• New Penrose Limits and AdS/CFT
• Peculiarities of String Theory on AdS(4) x CP(3)
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Spin chain for the deformed ABJM theory
• Giant Magnons in Symmetric Spaces: Explicit N-soliton solutions for CP^n, SU(n) and S^n
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Nonplanar Integrability and Parity in ABJ Theory
• BPS Wilson loops in Minkowski spacetime and Euclidean space
• Classification of BPS Objects in N = 6 Chern-Simons Matter Theory
• Rotating Strings in AdS(4) X CP(3) with B-NS holonomy
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• On the absence of reflection in AdS4/CFT3
• Y-system for $\gamma$-deformed ABJM Theory
• Large-Spin Expansions of GKP Strings
• On thermodynamics of N=6 superconformal Chern-Simons theory
• An exact limit of ABJM
• Integrability of Orbifold ABJM Theories
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Wrapping effects in supersymmetric gauge theories
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$
• BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory
• Extended Gauge Theory Deformations From~Flux~Backgrounds
• Complete type IIA superstring action on IIA plane wave background
• Divergent energy strings in $Ad{S}_5\times S^5$ with three angular momenta
• Three-Point Functions in ABJM and Bethe Ansatz
• Analytic continuation of harmonic sums with purely imaginary indices near the integer values
• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory
• Large J expansion in ABJM theory revisited
• Classical strings in $Ad{S}_4\times {\mathbb{CP}}^3$ with three angular momenta
• Worldsheet one-loop energy correction to IIA Giant Magnon
• Boundary bound states and integrable Wilson loops in ABJM