Edge modes in the fractional quantum Hall effect without extra edge fermions
Gabriel Di Lemos Santiago Lima, Sebastiao Alves Dias
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.
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.
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