# Coupled-wire constructions: a Luttinger liquid approach to topology

## TL;DR

This paper introduces coupled-wire constructions using bosonization to analyze fractional topological states of matter, highlighting their strengths, weaknesses, and key achievements in the field.

## Contribution

It provides an overview of the coupled-wire technique, emphasizing its analytical power and limitations in studying strongly interacting topological phases.

## Key findings

- Coupled-wire constructions effectively analyze fractional topological states.
- The technique's strengths include analytical tractability of strong interactions.
- Weaknesses involve limitations in certain complex topological scenarios.

## Abstract

Coupled-wire constructions use bosonization to analytically tackle the strong interactions underlying fractional topological states of matter. We give an introduction to this technique, discuss its strengths and weaknesses, and provide an overview of the main achievements of coupled-wire constructions.