Schreiber Non-Perturbative SDiff Covariance of FQH Excitations

An note that we have written at CQTS:

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• Hisham Sati$\;$and$\;$ Urs Schreiber:

  
  

  Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations

  • download: pdf (v2), arXiv:2602.02292 cond-mat.str-el (v1)

  
  

  European Physics Letters 154 (2026) 16002

  doi:10.1209/0295-5075/ae57d7

Abstract. Collective excitations of Fractional Quantum Hall (FQH) liquids at long wavelengths are thought to be of generally covariant geometric nature, governed by area-preserving diffeomorphisms ($\mathrm{SDiff}$). But current analyses rely solely on the corresponding perturbative $w_\infty$ 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 $\mathrm{SDiff}$ equivariance. But this turns out to be non-differentiable, suggesting FQH excitation phenomenology beyond the $w_\infty$ algebra.

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