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.

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

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• The AdS4/CFT3 algebraic curve

Cited by in corpus (26)

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• 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
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• The AdS Veneziano amplitude at small curvature
• 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 $\theta$-Bremsstrahlung at four loops and beyond
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• 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
• Three-Point Functions in ABJM and Bethe Ansatz
• 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