The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$

Abstract

The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $Ad{S}_4\times C{P}^3$, is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in depth the basic integrability structure underlying the spectral problem, the Quantum Spectral Curve. The new results presented in this paper open the way to the quantitative study of the spectrum for arbitrary operators at finite coupling. Besides, we show that the Quantum Spectral Curve is embedded into a novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and leads to exact Bethe Ansatz equations. The discovery of this algebraic structure, more intricate than the one appearing in the $Ad{S}_5/CF{T}_4$ case, could be a first step towards the extension of the method to $Ad{S}_3/CF{T}_2$.

43 + 27 pages, 7 figures. v4: text improved, more details and App D included. This is the same as the published version JHEP09(2017)140, with small typos corrected in App E

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• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• Exact Bremsstrahlung functions in ABJM theory
• The Chern-Simons Origin of Superstring Integrability
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
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• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
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• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Structure constants of heavy operators in ABJM/ABJ Theory
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• The type IIA Virasoro-Shapiro amplitude in AdS${}_4$ $\times$ CP${}^3$ from ABJM theory
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• On analytical perturbative solution of ABJM quantum spectral curve
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• Three-Point Functions in ABJM and Bethe Ansatz
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Excitations of Quantum Many-Body Systems via Purified Ensembles: A Unitary-Coupled-Cluster-based Approach