Non-invertible Gauss laws on lattices preserve Haag duality exactly only on cuspless regions; cusped regions require a collar, and group double models satisfy disjoint additivity.
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Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
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Algebraic locality and non-invertible Gauss laws
Non-invertible Gauss laws on lattices preserve Haag duality exactly only on cuspless regions; cusped regions require a collar, and group double models satisfy disjoint additivity.
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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
- Comments on Symmetry Operators, Asymptotic Charges and Soft Theorems