Integrability for the Full Spectrum of Planar AdS/CFT

Abstract

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently proposed AdS_4/CFT_3 duality is also treated in a similar fashion.

5 pages, 2 figures. v2: Typos corrected, references added, wrapping effects in AdS4/CFP3 corrected, v3: Typos corrected

References in corpus (16)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Quantum corrections to the string Bethe ansatz
• The Bethe ansatz for superconformal Chern-Simons
• On String S-matrix, Bound States and TBA
• The all loop AdS4/CFT3 Bethe ansatz
• String hypothesis for the AdS_5 x S^5 mirror
• Four loop twist two, BFKL, wrapping and strings
• Magnon Bound States and the AdS/CFT Correspondence
• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Wrapping interactions at strong coupling -- the giant magnon
• Anomalous dimension with wrapping at four loops in N=4 SYM
• The AdS4/CFT3 algebraic curve
• From Characters to Quantum (Super)Spin Chains via Fusion
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)

Cited by in corpus (258)

• Quantum spectral curve for AdS_5/CFT_4
• Y-system for Scattering Amplitudes
• Integrability and the AdS(3)/CFT(2) correspondence
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• On three-point correlation functions in the gauge/gravity duality
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Strings on Semisymmetric Superspaces
• Integrable Wilson loops
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• On correlation functions of operators dual to classical spinning string states
• The Quantum Spectral Curve of the ABJM theory
• Exciting the GKP string at any coupling
• Shocks, Superconvergence, and a Stringy Equivalence Principle
• Five-loop Konishi from the Mirror TBA
• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• A Spin Chain for the Symmetric Product CFT_2
• Analytic Solution of Bremsstrahlung TBA
• Towards integrability for AdS3/CFT2
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• Exact Slope and Interpolating Functions in ABJM Theory
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Solving the AdS/CFT Y-system
• Correlation functions of three heavy operators - the AdS contribution
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• Bi-scalar integrable CFT at any dimension
• Structure constants at wrapping order
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• The Konishi multiplet at strong coupling
• Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• HHL correlators, orbit averaging and form factors
• The Quantum Deformed Mirror TBA I
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Wronskian Solution for AdS/CFT Y-system
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Konishi operator at intermediate coupling
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Classical tau-function for quantum spin chains
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• Exact Correlation Functions in Conformal Fishnet Theory
• 5-loop Konishi from linearized TBA and the XXX magnet
• String field theory vertex from integrability
• Y-system for form factors at strong coupling in AdS5 and with multi-operator insertions in AdS3
• The spectral problem for strings on twisted AdS_5 x S^5
• Quantum integrability and functional equations
• Inhomogeneous T-Q equation for the open XXX chain with general boundary terms: completeness and arbitrary spin
• Twisting the Mirror TBA
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Introduction to the thermodynamic Bethe ansatz
• Deeper Look into Short Strings
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• The Quantum Deformed Mirror TBA II
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Review of AdS/CFT Integrability, Chapter II.4: The Spectral Curve
• Twisted Bethe equations from a twisted S-matrix
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• Yangians, S-matrices and AdS/CFT
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• On holographic three point functions for GKP strings from integrability
• Resurgence of the Cusp Anomalous Dimension
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
• Superstrings in AdS
• Holographic three-point functions for short operators
• Three-Point Functions and su(1|1) Spin Chains
• General phase spaces: from discrete variables to rotor and continuum limits
• Superintegrability of Geodesic Motion on the Sausage Model
• Bethe Ansaetze for GKP strings
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
• Correlation functions of magnon and spike
• Hybrid-NLIE for the AdS/CFT spectral problem
• The most general $\lambda$-deformation of CFTs and integrability
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
• Energy-Spin Trajectories in AdS_5 x S^5 from Semiclassical Vertex Operators
• Luescher formula for GKP string
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Computing Three-Point Functions for Short Operators
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Six-loop Konishi anomalous dimension from the Y-system
• Twist operators in N=4 beta-deformed theory
• The spectrum of tachyons in AdS/CFT
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Comments on the Mirror TBA
• On wrapping corrections to GKP-like operators
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• More Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Strong coupling results from the numerical solution of the quantum spectral curve
• 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
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Integrable spin chains and scattering amplitudes
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Correlation function of dyonic strings
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Asymptotic Four Point Functions
• The Complete One-Loop Dilation Operator of N=2 SuperConformal QCD
• Colour-Twist Operators I: Spectrum and Wave Functions
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• The conformal current algebra on supergroups with applications to the spectrum and integrability
• Exceptional Operators in N=4 super Yang-Mills
• A review of the AdS/CFT Quantum Spectral Curve
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Supersymmetry on the lattice
• First-principles derivation of the AdS/CFT Y-systems
• The Bound State S-matrix of the Deformed Hubbard Chain
• A next-to-leading Luescher formula
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Integrability of the eta-deformed Neumann-Rosochatius model
• Y-system for Y=0 brane in planar AdS/CFT
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• CFT data and spontaneously broken conformal invariance
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Scaling dimensions at small spin in N=4 SYM theory
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Finite size effect on the magnon's correlation functions
• Semiclassical folded string in AdS4 X CP3
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Supersymmetric quantum spin chains and classical integrable systems
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Bethe ansatz for an AdS/CFT open spin chain with non-diagonal boundaries
• Structure constants of heavy operators in ABJM/ABJ Theory
• Integrable strings for AdS/CFT
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• Algebraic Curve for a Cusped Wilson Line
• Functional Equations and Separation of Variables for Exact g-Function
• On the Spectrum of the AdS_5xS^5 String at large lambda
• A new representation for two- and three-point correlators of operators from sl(2) sector
• Lifting asymptotic degeneracies with the Mirror TBA
• Wilson-loop One-point Functions in ABJM Theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Worldsheet S-matrix of beta-deformed SYM
• Bound States in the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• Scattering of Giant Magnons in CP^3
• Quantum Current Algebra for the $Ad{S}_5\times S^5$ Superstring
• Two-Loop Spectroscopy of Short ABJM Operators
• ABJM quantum spectral curve and Mellin transform
• Quasi-local formulation of the mirror TBA
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• Matching three-point functions of BMN operators at weak and strong coupling
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Orbifolded Konishi from the Mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Orbit method quantization of the AdS${}_2$ superparticle
• The Leading Order Dressing Phase in ABJM Theory
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• $Ad{S}_5\times S^5$ supergravity vertex operators
• The Complete One-loop Spin Chain of N =1 SQCD
• Spectral curve for open strings attached to the Y=0 brane
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Large-Spin Expansions of GKP Strings
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• N=1 SQCD and the Transverse Field Ising Model
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Y-system for $\gamma$-deformed ABJM Theory
• String theory on the Schrodinger pp-wave background
• Lessons in quantum gravity from quantum field theory
• MHV amplitudes at strong coupling and linearized TBA equations
• N=4 SYM Quantum Spectral Curve in BFKL regime
• The Hirota equation for string theory in AdS5xS5 from the fusion of line operators
• Giant Holes
• Integrability treatment of AdS/CFT orbifolds
• Semiclassical SL(2) Strings on LLM backgrounds
• Coset construction of AdS particle dynamics
• Unified approach to the SU(2) Principal Chiral Field model at Finite Volume
• AdS pure spinor superstring in constant backgrounds
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• Webs of integrable theories
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Pulsating Strings in Lunin-Maldacena Backgrounds
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• Integrable systems and AdS/CFT duality
• Contour deformation trick in hybrid NLIE
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Bethe Ansatz for Quantum-Deformed Strings
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• The full spectrum of AdS${}_5$/CFT${}_4$ II: Weak coupling expansion via the quantum spectral curve
• Wrapping effects in supersymmetric gauge theories
• An inhomogeneous Lax representation for the Hirota equation
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Exact results for the low energy AdS(4)XCP(3) string theory
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Spectral curve for gamma-deformed AdS/CFT
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Three-Point Functions in ABJM and Bethe Ansatz
• Bound State Scattering Simplified
• Exact Results in Supersymmetric Gauge Theories
• Lee-Yang Model in Presence of Defects
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• A semiclassical analysis of the fluctuation eigenvalues and the one-loop energy of the folded spinning superstring in AdS_5 x S^5
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Splitting strings on integrable backgrounds
• A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• 12 loops and triple wrapping in ABJM theory from integrability
• Quantum Trilogy: Discrete Toda, Y-System and Chaos
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• Transfer matrices for AdS3/CFT2
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• Boson-Fermion correspondence, QQ-relations and Wronskian solutions of the T-system
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory