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Quantum Fishchain in $AdS_5$

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arxiv 1907.01001 v3 pith:N2YCFMRC submitted 2019-07-01 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords quantumchaindimensionsduallevelmodelparticlesanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $AdS_5$. 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams

    hep-th 2025-09 conditional novelty 7.0 of 10

    A dissertation extends the integrability correspondence between lattice models and fishnet Feynman graphs to fermionic, supersymmetric, and boundary cases, yielding new exact critical couplings and a conjectured box p...

  2. A folded string dual for the Sachdev-Ye-Kitaev model

    hep-th 2025-09 conditional novelty 6.0 of 10

    A folded string with imaginary AdS radius is proposed as a bulk dual of SYK, reproducing the known operator spectrum via a Pöschl-Teller equation with SYK-tuned parameters.

  3. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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