Generalising holographic fishchain

TL;DR

This paper extends the integrable fishchain models, which are dual to fishnet theories, to higher dimensions and explores their derivation for specific lattice deformations, with a focus on six-dimensional models in AdS7.

Contribution

It generalizes the fishchain models to arbitrary dimensions and identifies conditions for their derivation based on lattice deformations, especially in six-dimensional AdS space.

Findings

Fishchain models can be derived in any dimension for certain lattice deformations.

The study provides a framework for higher-dimensional fishnet dualities.

Explicit analysis of AdS7 fishchain models related to six-dimensional fishnets.

Abstract

In this paper we present an attempt to generalise the integrable Gromov-Sever models, the so-called fishchain models, which are dual to biscalar fishnets. We show that in any dimension they can be derived at least for some integer deformation parameter of the fishnet lattice. We focus in particular on the study of fishchain models in AdS$_7$ that are dual to the six-dimensional fishnet models.