Superstrings on AdS_4 x CP^3 as a Coset Sigma-model

Abstract

According to the recent proposal by Aharony, Bergman, Jafferis and Maldacena the N=6 supersymmetric Chern-Simons theory in three dimensions has a 't Hooft limit whose holographic dual is described by type IIA superstings on AdS_4 x CP^3 background. We argue that the Green-Schwarz action for type IIA string theory on AdS_4 x CP^3 with kappa-symmetry partially fixed can be understood as a coset sigma-model on the same space supplied with a proper Wess-Zumino term. We construct the corresponding sigma-model Lagrangian and show that it is invariant under a local fermionic symmetry which for generic bosonic string configurations allows one to remove 8 out of 24 fermionic degrees of freedom. The remaining 16 fermions together with their bosonic partners should describe the physical content of AdS_4 x CP^3 superstring. As further evidence, we demonstrate that in the plane-wave limit the quadratic action arising from our model reproduces the one emerging from the type IIA superstring. The coset sigma-model is classically integrable which opens up the possibility to investigate its dynamics in a way very similar to the case of AdS_5 x S^5 superstrings.

29 pages; v2: typos corrected, refs added

References in corpus (10)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Comments on the Bagger-Lambert theory and multiple M2-branes
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras

Cited by in corpus (192)

• The complete superconformal index for N=6 Chern-Simons theory
• Integrability and the AdS(3)/CFT(2) correspondence
• The all loop AdS4/CFT3 Bethe ansatz
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Strings on Semisymmetric Superspaces
• Three-dimensional N=6 SCFT's and their membrane dynamics
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• On M5-branes in N=6 Membrane Action
• 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
• The AdS4/CFT3 algebraic curve
• Anomalous radius shift in AdS(4)/CFT(3)
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• The Quantum Spectral Curve of the ABJM theory
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Dressing phases of AdS3/CFT2
• 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
• 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
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Superstrings in AdS(2)xS(2)xT(6)
• Dual Superconformal Symmetry of N=6 Chern-Simons Theory
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• String instanton in AdS(4)xCP(3)
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Schrödinger geometries arising from Yang-Baxter deformations
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• Double Wick rotating Green-Schwarz strings
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• Pure Spinor Formalism for Osp(N|4) backgrounds
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Integrability of Green-Schwarz Sigma Models with Boundaries
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• One Loop Amplitudes In ABJM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Superisometries and integrability of superstrings
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• A Nonperturbative Test of M2-Brane Theory
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Yangians, S-matrices and AdS/CFT
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Two-loop cusp anomaly in ABJM at strong coupling
• 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
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• The Chern-Simons Origin of Superstring Integrability
• More on integrable structures of superstrings in AdS(4) x CP(3) and AdS(2) x S(2) x T(6) superbackgrounds
• Superstrings in AdS
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Superspace conformal field theory
• Non-planar ABJM Theory and Integrability
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Amplitudes on plane waves from ambitwistor strings
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• From the octagon to the SFT vertex - gluing and multiple wrapping
• AdS_4 x CP^3 superstring in the light-cone gauge
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• The type II superstring to order theta^4
• A note on dual giant gravitons in $Ad{S}_4\times {\mathbb{CP}}^3$
• Non-integrability and Chaos with Unquenched Flavor
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Light-cone gauge Hamiltonian for AdS_4 x CP^3 superstring
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• More Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• The generalised scaling function: a systematic study
• A note on the reduction of the AdS4 x CP3 string sigma model
• 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
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Dressed Giant Magnons on CP^3
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• Giant Magnons on CP^3 by Dressing Method
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• 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
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Integrable Superstrings on the Squashed Three-sphere
• Cohomological Reduction of Sigma Models
• Complete factorization in minimal N=4 Chern-Simons-matter theory
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Classifying integrable symmetric space strings via factorized scattering
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• The plane-wave spectrum from the worldsheet
• 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
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• String integrability of the ABJM defect
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• 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
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• On Fermionic T-duality of Sigma modes on AdS backgrounds
• Lessons from giant gravitons on $Ad{S}_5\times T^{1,1}$
• Factorized Tree-level Scattering in AdS_4 x CP^3
• M2-brane Flows and the Chern-Simons Level
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Exploring The Lambda Model Of The Hybrid Superstring
• Scattering of Giant Magnons in CP^3
• On the pulsating strings in AdS_4 x CP3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Near Flat Space limit of strings on AdS_4 x CP^3
• Supersymmetric solutions from N=6 gauged supergravity
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• All symmetric AdS(n>2) solutions of type II supergravity
• The Leading Order Dressing Phase in ABJM Theory
• Aspects of Quantum Fermionic T-duality
• Peculiarities of String Theory on AdS(4) x CP(3)
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Zero Modes for the Boundary Giant Magnons
• Non-relativistic string monodromies
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Spin chain for the deformed ABJM theory
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Coset for Hopf fibration and Squashing
• Semiclassical strings in AdS(3) X S^2
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Stringy Membranes in AdS/CFT
• On the absence of reflection in AdS4/CFT3
• Y-system for $\gamma$-deformed ABJM Theory
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• On the massless modes of the AdS3/CFT2 integrable systems
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• Integrable crosscaps in classical sigma models
• A note on strings in deformed AdS_4 x CP3: giant magnon and single spike solutions
• Non-chiral current algebras for deformed supergroup WZW models
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Yangian Superalgebras in Conformal Field Theory
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring
• D=3 N=6 superconformal symmetry of AdS_4 x CP^3 superstring
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Fermionic reductions of the AdS4 x CP3 superstring
• Wrapping effects in supersymmetric gauge theories
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Super Yangian of superstring on AdS5xS5 revisited
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Complete type IIA superstring action on IIA plane wave background
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• 1/2-BPS D-branes from covariant open superstring in AdS${}_4\times {\mathbf{CP}}^3$ background
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory
• Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Large J expansion in ABJM theory revisited
• Splitting of Folded Strings in AdS_4*CP^3
• Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds
• A limit on the ABJ model
• F-string Solution in AdS4 X CP3 PP-wave Background
• Novel aspects of integrability for NLSMs in symmetric spaces
• Tenfold Way for Holography : AdS/CFT and Beyond
• Ambitwistor strings and amplitudes in curved backgrounds
• Some semiclassical structure constants for AdS_4 x CP^3
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts
• Worldsheet one-loop energy correction to IIA Giant Magnon
• On integrability of D0-brane equations on AdS_4 x CP^3 superbackground
• Spectra of Sigma Models on Semi-Symmetric Spaces