Quantum spectral curve for AdS_5/CFT_4

Abstract

We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We demonstrate the formalism for two types of observables - local operators at weak coupling and cusped Wilson lines in a near BPS limit.

4 pages, 2 figures; some typos corrected in v2

References in corpus (7)

• The Pomeron and Gauge/String Duality
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• The Bajnok-Janik formula and wrapping corrections
• Six-loop Konishi anomalous dimension from the Y-system

Cited by in corpus (218)

• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
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• An introduction to the SYK model
• The Collinear Limit of the Energy-Energy Correlator
• Hexagonalization of Correlation Functions
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Strings on NS-NS Backgrounds as Integrable Deformations
• Space-time S-matrix and Flux-tube S-matrix III. The two-particle contributions
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
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• The Quantum Spectral Curve of the ABJM theory
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
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• 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
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Towards integrability for AdS3/CFT2
• NNLO BFKL Pomeron eigenvalue in N=4 SYM
• Integrability of Conformal Fishnet Theory
• Exact Slope and Interpolating Functions in ABJM Theory
• Quantum spectral curve as a tool for a perturbative quantum field theory
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Adjoint BFKL at finite coupling: a short-cut from the collinear limit
• Bi-scalar integrable CFT at any dimension
• Structure constants at wrapping order
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• HHL correlators, orbit averaging and form factors
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Yangian Symmetry for Bi-Scalar Loop Amplitudes
• New Construction of Eigenstates and Separation of Variables for SU(N) Quantum Spin Chains
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Determinant formula for the octagon form factor in $\mathcal{N}$=4 SYM
• Double Wick rotating Green-Schwarz strings
• Fast analytic solver of rational Bethe equations
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• Quark--anti-quark potential in N=4 SYM
• Basso-Dixon Correlators in Two-Dimensional Fishnet CFT
• Exact Correlation Functions in Conformal Fishnet Theory
• String field theory vertex from integrability
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• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
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• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• Introduction to the thermodynamic Bethe ansatz
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Towards the exact Bremsstrahlung function of ABJM theory
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Integrability in dipole-deformed N=4 super Yang-Mills
• Clustering and the Three-Point Function
• The hexagon in the mirror: the three-point function in the SoV representation
• Twist-2 at seven loops in planar N=4 SYM theory: Full result and analytic properties
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Separation of variables and scalar products at any rank
• Resurgence of the Cusp Anomalous Dimension
• Handling Handles. Part II. Stratification and Data Analysis
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Thermodynamic Bethe Ansatz for Fishnet CFT
• The Chern-Simons Origin of Superstring Integrability
• Continuum limit of fishnet graphs and AdS sigma model
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• The Octagon as a Determinant
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• Superintegrability of Geodesic Motion on the Sausage Model
• Three-Point Functions and su(1|1) Spin Chains
• The Principle of Maximal Transcendentality and the Four-Loop Collinear Anomalous Dimension
• General phase spaces: from discrete variables to rotor and continuum limits
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• All five-loop planar four-point functions of half-BPS operators in $\mathcal{N}=4$ SYM
• Extending the Predictive Power of Perturbative QCD
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
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• Subleading Regge limit from a soft anomalous dimension
• BFKL Spectrum of N=4 SYM: non-Zero Conformal Spin
• Computing Three-Point Functions for Short Operators
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• Integrable sigma models and 2-loop RG flow
• From the octagon to the SFT vertex - gluing and multiple wrapping
• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• Hexagons and Correlators in the Fishnet Theory
• Diagonal Form Factors and Heavy-Heavy-Light Three-Point Functions at Weak Coupling
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• String Bits and the Spin Vertex
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve
• On the Exact Interpolating Function in ABJ Theory
• Non-planar data of $\mathcal{N}=4$ SYM
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Introduction to classical and quantum integrability
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• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Colour-Twist Operators I: Spectrum and Wave Functions
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• A review of the AdS/CFT Quantum Spectral Curve
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• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Integrability of the eta-deformed Neumann-Rosochatius model
• Duality Relations for Overlaps of Integrable Boundary States in AdS/dCFT
• Completeness of Wronskian Bethe equations for rational gl(m|n) spin chains
• The Loom for General Fishnet CFTs
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• String integrability of the ABJM defect
• Functional Equations and Separation of Variables for Exact g-Function
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Algebraic Curve for a Cusped Wilson Line
• Integrable bootstrap for AdS3/CFT2 correlation functions
• Separation of variables bases for integrable $g{l}_{\mathcal{M}|\mathcal{N}}$ and Hubbard models
• Integrable strings for AdS/CFT
• BFKL pomeron in the next-to-next-to-leading approximation in the planar N=4 SYM theory
• A new representation for two- and three-point correlators of operators from sl(2) sector
• Cosmic Wheels: From integrability to the Galois coaction
• Wilson-loop One-point Functions in ABJM Theory
• Exciting LLM Geometries
• Effective Quantum Field Theory for the Thermodynamical Bethe Ansatz
• Integrable Subsectors from Holography
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• ABJM quantum spectral curve and Mellin transform
• Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Non-planar cusp and transcendental anomalous dimension at four loops in N=4 supersymmetric Yang-Mills theory
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Integrable spin chains and cellular automata with medium range interaction
• Wrapping corrections for long range spin chains
• Lectures on Three-point Functions in N=4 Supersymmetric Yang-Mills Theory
• On the singlet projector and the monodromy relation for psu(2, 2|4) spin chains and reduction to subsectors
• Orbit method quantization of the AdS${}_2$ superparticle
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• $Ad{S}_5\times S^5$ supergravity vertex operators
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Strong Wilson polygons from the lodge of free and bound mesons
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Spectral curve for open strings attached to the Y=0 brane
• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes
• Y-system for $\gamma$-deformed ABJM Theory
• Quantum Geometry of Expectation Values
• Evaluation of the operatorial Q-system for non-compact super spin chains
• Anomalous dimensions from boson lattice models
• Coset construction of AdS particle dynamics
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• Worldsheet dilatation operator for the $AdS$ superstring
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Master symmetry in the $Ad{S}_5\times S^5$ pure spinor string
• The full spectrum of AdS${}_5$/CFT${}_4$ II: Weak coupling expansion via the quantum spectral curve
• On analytical perturbative solution of ABJM quantum spectral curve
• Cutting the cylinder into squares: The square form factor
• Structure constants of twist-two light-ray operators in the triple Regge limit
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Bethe Ansatz for Quantum-Deformed Strings
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Correlation functions of determinant operators in conformal fishnet theory
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Bootstrap AdS Veneziano Amplitude with Arbitrary Kaluza-Klein Modes
• Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Wilson Loops with Lagrangians: Large Spin OPE and Cusp Anomalous Dimension Dictionary
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• Separation of variables for higher rank integrable models: review of recent progress
• Spectral curve for gamma-deformed AdS/CFT
• Three-Point Functions in ABJM and Bethe Ansatz
• Analytic continuation of harmonic sums with purely imaginary indices near the integer values
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Exact Results in Supersymmetric Gauge Theories
• Four-Point Functions with a Twist
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• The Omega-Infinity Limit of Single Spikes
• 12 loops and triple wrapping in ABJM theory from integrability
• Finite volume form factors in integrable theories
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• On interpolating anomalous dimension of twist-two operators with general spins
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes
• A diagrammatic approach towards the thermodynamics of integrable systems
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
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• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• Boundary bound states and integrable Wilson loops in ABJM