# Edge modes in the fractional quantum Hall effect without extra edge fermions

## TL;DR

This paper demonstrates that the Chern-Simons-Landau-Ginsburg theory for the quantum Hall effect inherently maintains gauge invariance on bounded samples, eliminating the need for additional edge fermions.

## Contribution

It shows that the quantum Hall effect's theoretical description is anomaly-free without extra boundary fermions, challenging previous assumptions.

## Key findings

- Chern-Simons-Landau-Ginsburg theory is anomaly free on bounded samples
- No extra edge fermions are needed for gauge invariance
- Simplifies understanding of edge modes in quantum Hall systems

## Abstract

We show that the Chern-Simons-Landau-Ginsburg theory that describes the quantum Hall effect on a bounded sample is anomaly free and thus does not require the addition of extra chiral fermions on the boundary to restore local gauge invariance.