# From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics

## TL;DR

This paper links the coupled wire construction of Abelian quantum Hall states with composite boson theory to derive wave functions and hydrodynamic descriptions, including the Wen-Zee action, providing a new constructive approach.

## Contribution

It introduces a method to extract Laughlin wave functions and hydrodynamic theories directly from the coupled wire construction, enhancing understanding of topological quantum Hall states.

## Key findings

- Derived Laughlin wave function from coupled wire model
- Reconstructed Wen-Zee topological action in bulk
- Provided a recipe for general Abelian quantum Hall states

## Abstract

In this paper we use a close connection between the coupled wire construction (CWC) of Abelian quantum Hall states and the theory of composite bosons to extract the Laughlin wave function and the hydrodynamic effective theory in the bulk, including the Wen-Zee topological action, directly from the CWC. We show how rotational invariance can be recovered by fine-tuning the interactions. A simple recipe is also given to construct general Abelian quantum Hall states desceibed by the multi-component Wen-Zee action.