Gap–Protected Anomaly Theorem

A finite-range G-symmetric lattice Hamiltonian with (i) a Lieb–Robinson light-cone, (ii) a uniform mobility gap proved via the spectral-localiser and stable under Balaban–Brydges RG, (iii) exponential clustering, and (iv) a non-trivial torsion class in Ω5Spin(BG) cannot possess a gapped, short-range-entangled, GG-preserving boundary.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-25
DOI
https://doi.org/10.5281/zenodo.15283945
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
0.00
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article

Gap–Protected Anomaly Theorem

Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
article

Gap–Protected Anomaly Theorem

article en

Abstract

A finite-range G-symmetric lattice Hamiltonian with (i) a Lieb–Robinson light-cone, (ii) a uniform mobility gap proved via the spectral-localiser and stable under Balaban–Brydges RG, (iii) exponential clustering, and (iv) a non-trivial torsion class in Ω5Spin(BG) cannot possess a gapped, short-range-entangled, GG-preserving boundary.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 62%
Quantum many-body systems
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Gap–Protected Anomaly Theorem · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS