Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908947022086144 |
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| author | Sati, Hisham Schreiber, Urs |
| author_facet | Sati, Hisham Schreiber, Urs |
| contents | 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 ($\mathrm{SDiff}$). 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 underappreciated subtleties when the usual Hilbert space truncation is removed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02292 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations Sati, Hisham Schreiber, Urs Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics 81V70, 81R10, 81T13, 22E66, 81T08 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 ($\mathrm{SDiff}$). 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 underappreciated subtleties when the usual Hilbert space truncation is removed. |
| title | Non-Perturbative SDiff Covariance of Fractional Quantum Hall Excitations |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics 81V70, 81R10, 81T13, 22E66, 81T08 |
| url | https://arxiv.org/abs/2602.02292 |