Anomalies on the Lattice, Homotopy of Quantum Cellular Automata, and a Spectrum of Invertible States
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908686505476096 |
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| author | Czajka, Alexander M. Geiko, Roman Thorngren, Ryan |
| author_facet | Czajka, Alexander M. Geiko, Roman Thorngren, Ryan |
| contents | We develop a rigorous topological theory of anomalies on the lattice, which are obstructions to gauging global symmetries and the existence of trivial symmetric states. We also construct $Ω$-spectra of a class of invertible states and quantum cellular automata, which allows us to classify both anomalies and symmetry protected topological phases up to blend equivalence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomalies on the Lattice, Homotopy of Quantum Cellular Automata, and a Spectrum of Invertible States Czajka, Alexander M. Geiko, Roman Thorngren, Ryan Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics We develop a rigorous topological theory of anomalies on the lattice, which are obstructions to gauging global symmetries and the existence of trivial symmetric states. We also construct $Ω$-spectra of a class of invertible states and quantum cellular automata, which allows us to classify both anomalies and symmetry protected topological phases up to blend equivalence. |
| title | Anomalies on the Lattice, Homotopy of Quantum Cellular Automata, and a Spectrum of Invertible States |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2512.02105 |