On two-dimensional tensor network group symmetries
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912496680435712 |
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| author | Garre-Rubio, José Molnár, András |
| author_facet | Garre-Rubio, José Molnár, András |
| contents | We introduce two-dimensional tensor network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor network ground states. We further develop related tensor network unitaries that generate symmetric states representing (3+1)D symmetry protected topological phases. Although aspects of these constructions have been previously addressed, our contribution unifies them within a single tensor network framework and emphasizes the explicit formulation of local tensor equations encoding global consistency conditions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_16475 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On two-dimensional tensor network group symmetries Garre-Rubio, José Molnár, András Quantum Physics Strongly Correlated Electrons We introduce two-dimensional tensor network representations of finite groups carrying a 4-cocycle index. We characterize the associated gapped (2+1)D phases that emerge when these anomalous symmetries act on tensor network ground states. We further develop related tensor network unitaries that generate symmetric states representing (3+1)D symmetry protected topological phases. Although aspects of these constructions have been previously addressed, our contribution unifies them within a single tensor network framework and emphasizes the explicit formulation of local tensor equations encoding global consistency conditions. |
| title | On two-dimensional tensor network group symmetries |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.16475 |