Quantum Fishchain in $Ad{S}_5$

Abstract

In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form of an integrable chain of particles in five dimensions. Here we study the theory at the quantum level. By applying the canonical quantization procedure with constraints, we show that the model describes a quantum chain of particles propagating in $Ad{S}_5$. We prove the duality at the full quantum level in the $\mathfrak{u}(1)$ sector and reproduce exactly the spectrum for the cases when it is known analytically.

arXiv comment38 pages, 3 figures, v2 - typos corrected, references updated, v3 - acknowledgment added

References in corpus (17)

• Large N Field Theories, String Theory and Gravity
• Comments on the Sachdev-Ye-Kitaev model
• Projectors, Shadows, and Conformal Blocks
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• The cusp anomalous dimension at three loops and beyond
• Entanglement in non-unitary quantum critical spin chains
• Strongly γ-deformed N=4 SYM as an integrable CFT
• Integrability of Conformal Fishnet Theory
• Bi-scalar integrable CFT at any dimension
• Static Potential in N=4 Supersymmetric Yang-Mills Theory
• Exact Correlation Functions in Conformal Fishnet Theory
• Non-conformality of gamma_i-deformed N=4 SYM theory
• Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$
• The Holographic Fishchain
• Continuum limit of fishnet graphs and AdS sigma model
• Ladders for Wilson Loops Beyond Leading Order
• Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds

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• Exactly solvable single-trace four point correlators in $\chi$CFT${}_4$
• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Colour-Twist Operators I: Spectrum and Wave Functions
• The Holographic Dual of Strongly γ-deformed N=4 SYM Theory: Derivation, Generalization, Integrability and Discrete Reparametrization Symmetry
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• The Loom for General Fishnet CFTs
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Twistor fishnets
• Combinatorial Solution of the Eclectic Spin Chain
• Checkerboard CFT
• Correlation functions of determinant operators in conformal fishnet theory
• Light-cone limits of large rectangular fishnets
• Regge amplitudes in Generalized Fishnet and Chiral Fishnet Theories
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Fishnet four-point integrals: integrable representations and thermodynamic limits
• A Large Twist Limit for Any Operator