The AdS4/CFT3 algebraic curve

Abstract

We present the OSp(2,2|6) symmetric algebraic curve for the AdS4/CFT3 duality recently proposed in arXiv:0806.1218. It encodes all classical string solutions at strong t'Hooft coupling and the full two loop spectrum of long single trace gauge invariant operators in the weak coupling regime. This construction can also be used to compute the complete superstring semi-classical spectrum around any classical solution. We exemplify our method on the BMN point-like string.

Typos and factors of 2 fixed. Main results are not affected

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• Hidden Symmetries of the AdS_5 x S^5 Superstring
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• Transcendentality and Crossing
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• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
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• Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• An N=1 Superfield Action for M2 branes
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• A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual
• The su(2|3) Undynamic Spin Chain
• Morita Duality and Noncommutative Wilson Loops in Two Dimensions
• Linear Sigma Models for the R^8/Z_k Orbifold

Cited by in corpus (86)

• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• The complete superconformal index for N=6 Chern-Simons theory
• Integrability and the AdS(3)/CFT(2) correspondence
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• 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
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^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)
• The Quantum Spectral Curve of the ABJM theory
• Symmetries of Tree-level Scattering Amplitudes in N=6 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
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Neumann-Rosochatius integrable system for strings on AdS_4 x CP^3
• One Loop Amplitudes In ABJM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• 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
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• A Nonperturbative Test of M2-Brane Theory
• 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
• Macroscopic (and Microscopic) Massless Modes
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• More on integrable structures of superstrings in AdS(4) x CP(3) and AdS(2) x S(2) x T(6) superbackgrounds
• 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
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Giant Magnons in AdS4 x CP3: Embeddings, Charges and a Hamiltonian
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Giant Magnons on CP^3 by Dressing Method
• 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
• Supersymmetry and Mass Gap in 2+1 Dimensions: A Gauge Invariant Hamiltonian Analysis
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Constant mean curvature surfaces in AdS_3
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• 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
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Spiky Strings in AdS(4) X CP**3 with Neveu-Schwarz Flux
• Algebraic Curves for Integrable String Backgrounds
• The Leading Order Dressing Phase in ABJM Theory
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Membrane Dynamics in Three dimensional N=6 Supersymmetric Chern-Simons Theory
• Off-shell symmetry algebra of the AdS_4 x CP^3 superstring
• Spin chain for the deformed ABJM theory
• On the absence of reflection in AdS4/CFT3
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Semiclassical strings in AdS(3) X S^2
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• Giant Spinons
• Fermionic reductions of the AdS4 x CP3 superstring
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• 12 loops and triple wrapping in ABJM theory from integrability
• Worldsheet one-loop energy correction to IIA Giant Magnon
• Novel aspects of integrability for NLSMs in symmetric spaces