For non-invertible on-site symmetries on 2+1D lattices, Haag duality is preserved exactly only for cuspless regions (weak form with collar for cusped regions); disjoint additivity holds for group-based double models and is weakened for general Hopf algebra constraints, including extended string-net
Entropic order parameters for the phases of QFT
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1-form symmetries in the QED soft sector generate asymptotic charges whose central extension implies soft photon theorems and fixes a two-soft-photon contact term.
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Algebraic locality and non-invertible Gauss laws
For non-invertible on-site symmetries on 2+1D lattices, Haag duality is preserved exactly only for cuspless regions (weak form with collar for cusped regions); disjoint additivity holds for group-based double models and is weakened for general Hopf algebra constraints, including extended string-net
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Comments on Symmetry Operators, Asymptotic Charges and Soft Theorems
1-form symmetries in the QED soft sector generate asymptotic charges whose central extension implies soft photon theorems and fixes a two-soft-photon contact term.