The Cubic Fixed Point at Large $N$

TL;DR

This paper investigates the large N behavior of cubic fixed points in three-dimensional coupled Ising models using renormalization group flow, diagrammatic expansions, and conformal bootstrap data.

Contribution

It introduces a diagrammatic expansion for 1/N corrections and evaluates conformal dimensions at the cubic fixed point with numerical bootstrap data.

Findings

Derived 1/N corrections to correlation functions

Computed conformal dimensions at the cubic fixed point

Analyzed RG flow between coupled Ising models

Abstract

By considering the renormalization group flow between $N$ coupled Ising models in the UV and the cubic fixed point in the IR, we study the large $N$ behavior of the cubic fixed points in three dimensions. We derive a diagrammatic expansion for the $1/N$ corrections to correlation functions. Leading large $N$ corrections to conformal dimensions at the cubic fixed point are then evaluated using numeric conformal bootstrap data for the 3d Ising model.