Tri-Scalar CFT and Holographic Bi-Fishchain Model

TL;DR

This paper extends the fishnet and fishchain duality framework to a tri-scalar conformal field theory derived from ABJM theory, establishing a new holographic bi-fishchain model in the planar limit.

Contribution

It introduces the tri-scalar fishnet theory from ABJM's large twist limit and constructs its holographic dual, the bi-fishchain model, expanding the scope of integrable holographic dualities.

Findings

Tri-scalar fishnet theory derived from ABJM in planar limit.

Holographic dual identified as the bi-fishchain model.

Extension of weak-strong duality to new tri-scalar context.

Abstract

Bi-scalar CFT from $\gamma$ deformed $\cal N$=4 SYM describes the fishnet theory which is integrable in the planar limit. The holographic dual of the planar model is the fishchain model. The derivation of the weak-strong duality from the first principle was presented in a recent paper (The Holographic Fishchain arXiv:1903.10508). In this note we extend the investigation to the tri-scalar CFT which raises from the large twist limit of ABJM theory. We show that it becomes tri-scalar fishnet theory in planar limit and the dual theory is the holographic bi-fishchain model.