# The Holographic Fishchain

## TL;DR

This paper establishes a weak-strong duality between a four-dimensional fishnet theory and a discretized string model in five dimensions, demonstrating classical integrability at strong coupling and providing insights into holography without supersymmetry.

## Contribution

It provides the first-principle derivation of a holographic duality for the fishnet theory, including classical integrability and non-perturbative tests, offering a simplified model for holography.

## Key findings

- Explicit classical integrability of the discretized string model.
- Reproduction of the strong coupling limit of the 4-point correlator.
- Potential insights into AdS/CFT correspondence for ${
m f N}=4$ SYM.

## 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.