The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes

Abstract

We lift the bosonic AdS_4 x CP^3 solution of type IIA supergravity preserving 24 supersymmetries to a D=10 superspace which has 32 Grassmann-odd directions. The type IIA superspace is obtained from D=11 via dimensional reduction of the coset superspace OSp(8|4)/SO(7) x SO(1,3) by realizing the latter as a Hopf fibration over the former. This construction generalizes to superspace the Hopf fibration of S^7 as a U(1) bundle over CP^3, and is suitable for writing the explicit form of Green-Schwarz-type actions encoding the dynamics of the type IIA string and branes in the AdS_4 x CP^3 superbackground. We show that the OSp(6|4)/U(3) x SO(1,3) supercoset string action describes only a subsector of the complete Green-Schwarz superstring. Thus, even though the superstring equations of motion in the OSp(6|4)/U(3) x SO(1,3) subsector are classically integrable, the fact that the full AdS_4 x CP^3 superspace is not a supercoset requires the use of more general methods to determine whether the superstring in the complete AdS_4 x CP^3 superbackground is classically integrable.

1+40 pages, LaTeX style; v2: added clarifications, misprints in eqs. corrected, acknowledgments and references added; v3: JHEP version, missed term restored in eqs. (2.4) and (5.25), normalization changed in various places to fix discrepancy in conventions, more clarifications and refs. added

References in corpus (52)

• 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
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• Type IIB superstring action in AdS_5 x S^5 background
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Super D-branes
• Covariant Action for the Super-Five-Brane of M-Theory
• The Dirichlet Super-p-Branes in Ten-Dimensional Type IIA and IIB Supergravity
• Multi-spin string solutions in AdS_5 x S^5
• World-Volume Action of the M Theory Five-Brane
• D-Brane Actions with Local Kappa Symmetry
• The Dirichlet Super-Three-Brane in Ten-Dimensional Type IIB Supergravity
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Aspects of Semiclassical Strings in AdS${}_5$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• The Bethe ansatz for superconformal Chern-Simons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Near Horizon Superspace
• 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
• A simple class of N=3 gauge/gravity duals
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• N = 8 Superconformal Chern--Simons Theories
• Superspace Geometry for Supermembrane Backgrounds
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• On one-loop correction to energy of spinning strings in S^5
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
• Finite-size corrections in the SU(2) x SU(2) sector of type IIA string theory on AdS_4 x CP^3
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• The M-Theory Two-Brane in AdS_4 x S^7 and AdS_7 x S^4
• Bagger-Lambert Theory for General Lie Algebras
• Supersymmetric D3 brane action in AdS_5 x S^5
• New string vacua from twistor spaces
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Ghost-Free Superconformal Action for Multiple M2-Branes
• D2 to D2
• N=8 superconformal gauge theories and M2 branes
• A second look at N=1 supersymmetric AdS_4 vacua of type IIA supergravity
• Generalized Action Principle and Superfield Equations of Motion for d=10 D-p-branes
• Super M-brane actions in adS_4 x S^7 and adS_7 x S^4
• Super-PP-wave Algebra from Super-AdS x S Algebras in Eleven-dimensions
• On gauge-fixed superbrane actions in AdS superbackgrounds
• Fuzzy Ring from M2-brane Giant Torus
• The supermembrane revisited

Cited by in corpus (84)

• Integrability and the AdS(3)/CFT(2) correspondence
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Strings on Semisymmetric Superspaces
• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Anomalous radius shift in AdS(4)/CFT(3)
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• 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
• 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
• Superstrings in AdS(2)xS(2)xT(6)
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• String instanton in AdS(4)xCP(3)
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
• On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model
• On Integrable Backgrounds Self-dual under Fermionic T-duality
• Light-like polygonal Wilson loops in 3d Chern-Simons and ABJM theory
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Superisometries and integrability of superstrings
• On AdS_4 x CP^3 T-duality
• 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
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Two-loop cusp anomaly in ABJM at strong coupling
• The Chern-Simons Origin of Superstring Integrability
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• 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
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• AdS_4 x CP^3 superstring in the light-cone gauge
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Giant Magnons on CP^3 by Dressing Method
• Compactification of the Heterotic Pure Spinor Superstring I
• Dressed Giant Magnons on CP^3
• The worldsheet low-energy limit of the AdS_4 x CP^3 superstring
• Classical and quantum integrability in AdS(2)/CFT(1)
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• On the Non-renormalization of the AdS Radius
• On semiclassical calculation of three-point functions in AdS_4 x CP^3
• Classifying integrable symmetric space strings via factorized scattering
• 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
• T-Duality of Green-Schwarz Superstrings on AdS(d) x S(d) x M(10-2d)
• AdS_4 x CP^3 superstring and D=3 N=6 superconformal symmetry
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• M2-brane Flows and the Chern-Simons Level
• On Fermionic T-duality of Sigma modes on AdS backgrounds
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On the pulsating strings in AdS_4 x CP3
• Scattering of Giant Magnons in CP^3
• Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
• Analytic bootstrap for magnetic impurities
• Peculiarities of String Theory on AdS(4) x CP(3)
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Quantum Degenerate Systems
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• On the absence of reflection in AdS4/CFT3
• Stringy Membranes in AdS/CFT
• Y-system for $\gamma$-deformed ABJM Theory
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Fermionic reductions of the AdS4 x CP3 superstring
• Complete type IIA superstring action on IIA plane wave background
• Supermembrane actions for Gaiotto-Maldacena backgrounds
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• 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
• Large J expansion in ABJM theory revisited
• Pure spinor superstring in AdS_4 x CP^3 with unconstrained ghosts
• On integrability of D0-brane equations on AdS_4 x CP^3 superbackground
• Splitting of Folded Strings in AdS_4*CP^3
• F-string Solution in AdS4 X CP3 PP-wave Background
• Worldsheet one-loop energy correction to IIA Giant Magnon