Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3

Abstract

We review the duality and integrability of N=6 superconformal Chern-Simons theory in three dimensions and IIA superstring theory on the background AdS4xCP3. We introduce both of these models and describe how their degrees of freedom are mapped to excitations of a long-range integrable spin-chain. Finally, we discuss the properties of the Bethe equations, the S-matrix and the algebraic curve that are special to this correspondence and differ from the case of N=4 SYM theory and strings on AdS5xS5.

22 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: references added, v4: brief discussion of giant magnons added, further minor changes, published version, v5: union of v3 and v4 because changes made in v3 were accidentally lost in v4

References in corpus (39)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Giant Magnons
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• Three-dimensional N=6 SCFT's and their membrane dynamics
• 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
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• The AdS4/CFT3 algebraic curve
• Anomalous radius shift in AdS(4)/CFT(3)
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• An N=1 Superfield Action for M2 branes
• Comment on the Scaling Function in AdS4 x CP3
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Magnons, their Solitonic Avatars and the Pohlmeyer Reduction
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• Non-planar ABJM Theory and Integrability
• Review of AdS/CFT Integrability, Chapter III.1: Bethe Ansätze and the R-Matrix Formalism
• Non-planar ABJ Theory and Parity
• A New and Elementary CP^n Dyonic Magnon
• A note on the reduction of the AdS4 x CP3 string sigma model
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• The Morphology of N=6 Chern-Simons Theory
• Fermionic reductions of the AdS4 x CP3 superstring

Cited by in corpus (77)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• The Quantum Spectral Curve of the ABJM theory
• Towards integrability for AdS3/CFT2
• Exact Slope and Interpolating Functions in ABJM Theory
• Multiple Membranes in M-theory
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Beyond $a=c$: Gravitational Couplings to Matter and the Stress Tensor OPE
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Double Wick rotating Green-Schwarz strings
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• 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
• Two-loop cusp anomaly in ABJM at strong coupling
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Unquenched massive flavors and flows in Chern-Simons matter theories
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• Thermodynamics of the brane in Chern-Simons matter theories with flavor
• Lectures on S-matrices and Integrability
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• From Schurs to Giants in ABJ(M)
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Semiclassical folded string in AdS4 X CP3
• Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
• String integrability of the ABJM defect
• The Panorama of Spin Matrix Theory
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Integrable strings for AdS/CFT
• Wilson-loop One-point Functions in ABJM Theory
• The type IIA Virasoro-Shapiro amplitude in AdS${}_4$ $\times$ CP${}^3$ from ABJM theory
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• ABJM quantum spectral curve and Mellin transform
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• Fermionic T-duality and U-duality in type II supergravity
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Y-system for $\gamma$-deformed ABJM Theory
• On the massless modes of the AdS3/CFT2 integrable systems
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• Quantum phase transitions with dynamical flavors
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Coset construction of AdS particle dynamics
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
• Heavy Operators in Superconformal Chern-Simons Theory
• Exact Results in Supersymmetric Gauge Theories
• Remarks on the geometrical properties of semiclassically quantized strings
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Three-Point Functions in ABJM and Bethe Ansatz
• Notes on Multi-Spin Strings in $Ad{S}_4\times C{P}^3$ and its marginal deformations
• On integrability of massless AdS_4 x CP^3 superparticle equations
• Semiclassical quantization of the mixed-flux AdS${}_3$ giant magnon
• A note about fermionic equations of AdS_4 x CP^3 superstring
• Splitting of Folded Strings in AdS_4*CP^3