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The Holographic Fishchain
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abstract
We present the first-principle derivation of a weak-strong duality between the fishnet theory in four dimensions and a discretized string-like model living in five dimensions. At strong coupling, the dual description becomes classical and we demonstrate explicitly the classical integrability of the model. We test our results by reproducing the strong coupling limit of the $4$-point correlator computed before non-perturbatively from the conformal partial wave expansion. Due to the extreme simplicity of our model, it could provide an ideal playground for holography with no super-symmetry. Furthermore, since the fishnet model and ${\cal N}=4$ SYM theory are continuously linked our consideration could shed light on the derivation of AdS/CFT for the latter.
Forward citations
Cited by 2 Pith papers
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Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams
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...
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A folded string dual for the Sachdev-Ye-Kitaev model
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.
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