| Issue |
EPL
Volume 154, Number 1, April 2026
|
|
|---|---|---|
| Article Number | 16002 | |
| Number of page(s) | 7 | |
| Section | Condensed matter and materials physics | |
| DOI | https://doi.org/10.1209/0295-5075/ae57d7 | |
| Published online | 08 April 2026 | |
Non-perturbative SDiff covariance of fractional quantum Hall excitations
Mathematics program and Center for Quantum and Topological Systems, New York University Abu Dhabi Abu Dhabi, UAE
Received: 18 February 2026
Accepted: 26 March 2026
Abstract
Collective excitations of Fractional Quantum Hall (FQH) liquids at long wavelengths are thought to be of a generally covariant geometric nature, governed by area-preserving diffeomorphisms (SDiff). But current analyses rely solely on the corresponding perturbative w∞ Lie algebra. We argue this is insufficient: We identify a non-perturbative construction of the effective Maxwell-Chern-Simons quantum field theory which carries unitary SDiff equivariance. But this turns out to be non-differentiable, suggesting underappreciated subtleties when the usual Hilbert space truncation is removed.
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