The Quantum Spectral Curve of the ABJM theory

Abstract

Recently, it was shown that the spectrum of anomalous dimensions and other important observables in N = 4 SYM are encoded into a simple nonlinear Riemann-Hilbert problem: the Pμ-system or Quantum Spectral Curve. In this letter we present the Pμ-system for the spectrum of the ABJM theory. This may be an important step towards the exact determination of the interpolating function h(λ) characterising the integrability of the ABJM model. We also discuss a surprising symmetry between the Pμ-system equations for N = 4 SYM and ABJM.

arXiv comment5 pages, 3 figures, LaTeX. v2: title changed, minor corrections in the text, references added

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• Integrability for the Full Spectrum of Planar AdS/CFT
• Quantum spectral curve for AdS_5/CFT_4
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
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• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• The Quantum Deformed Mirror TBA II
• Discontinuity relations for the AdS(4)/CFT(3) correspondence

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• Quantum Spectral Curve and the Numerical Solution of the Spectral Problem in AdS5/CFT4
• Towards integrability for AdS3/CFT2
• Integrability of Conformal Fishnet Theory
• Exact Slope and Interpolating Functions in ABJM Theory
• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Structure constants at wrapping order
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Exact Correlation Functions in Conformal Fishnet Theory
• QCD Pomeron from AdS/CFT Quantum Spectral Curve
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• 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
• Two-loop cusp anomaly in ABJM at strong coupling
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• Exact Bremsstrahlung functions in ABJM theory
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Lectures on S-matrices and Integrability
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• On the Exact Interpolating Function in ABJ Theory
• The AdS Veneziano amplitude at small curvature
• 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
• The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry
• A review of the AdS/CFT Quantum Spectral Curve
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• String integrability of the ABJM defect
• Wilson-loop One-point Functions in ABJM Theory
• The type IIA Virasoro-Shapiro amplitude in AdS${}_4$ $\times$ CP${}^3$ from ABJM theory
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• ABJM quantum spectral curve and Mellin transform
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• 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
• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• Y-system for $\gamma$-deformed ABJM Theory
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• On analytical perturbative solution of ABJM quantum spectral curve
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Determinant Form of Correlators in High Rank Integrable Spin Chains via Separation of Variables
• Asymptotic Bethe ansatz of ABJM open spin chain from giant graviton
• Three-Point Functions in ABJM and Bethe Ansatz
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Exact Results in Supersymmetric Gauge Theories
• 12 loops and triple wrapping in ABJM theory from integrability
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM