Devon Stockall - A Generalized Crystalline Equivalence Principle

Journal article

Devon Stockall, Matthew Yu
2025

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APA Click to copy
Stockall, D., & Yu, M. (2025). A Generalized Crystalline Equivalence Principle.

Chicago/Turabian Click to copy
Stockall, Devon, and Matthew Yu. “A Generalized Crystalline Equivalence Principle” (2025).

MLA Click to copy
Stockall, Devon, and Matthew Yu. A Generalized Crystalline Equivalence Principle. 2025.

BibTeX Click to copy

@article{devon2025a,
  title = {A Generalized Crystalline Equivalence Principle},
  year = {2025},
  author = {Stockall, Devon and Yu, Matthew}
}

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.