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A Generalized Crystalline Equivalence Principle
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abstract
We prove a general version of the crystalline equivalence principle which gives an equivalence of categories between a category of TQFTs defined on a generic space with $G$-symmetry, and a category of TQFTs with internal symmetry. We give a definition and classification of anomalies associated to TQFTs in the presence of spatial symmetry, which we then generalize to a definition of an anomaly for a categorical symmetry.
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Cited by 1 Pith paper
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Free to Interacting Map for Crystalline SPT Phases: Equivariance vs Crystalline Equivalence
Crystalline SPT phases with symmorphic symmetry should be classified by a fully equivariant Freed–Hopkins invertible-field-theory ansatz, equipped with a natural free-to-interacting map from equivariant K-theory.
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