Higher lattice gauge theory from representations of 2-groups and 3+1D topological phases
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911332873273344 |
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| author | Lawson, Latévi M. Osei, Prince K. |
| author_facet | Lawson, Latévi M. Osei, Prince K. |
| contents | We construct a higher lattice gauge theory based on the representation of 2-groups described by a category of crossed modules on a lattice model described by path 2-groupoids. Using these lattice gauge representations, an exactly solvable Hamiltonian for topological phases in 3+1 dimensions is constructed. We show that the ground states of this model are topological observables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher lattice gauge theory from representations of 2-groups and 3+1D topological phases Lawson, Latévi M. Osei, Prince K. High Energy Physics - Lattice Other Condensed Matter High Energy Physics - Theory Mathematical Physics Quantum Physics We construct a higher lattice gauge theory based on the representation of 2-groups described by a category of crossed modules on a lattice model described by path 2-groupoids. Using these lattice gauge representations, an exactly solvable Hamiltonian for topological phases in 3+1 dimensions is constructed. We show that the ground states of this model are topological observables. |
| title | Higher lattice gauge theory from representations of 2-groups and 3+1D topological phases |
| topic | High Energy Physics - Lattice Other Condensed Matter High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2512.19608 |