Classification of connected étale algebras in pre-modular fusion categories up to rank three
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917655249682432 |
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| author | Kikuchi, Ken |
| author_facet | Kikuchi, Ken |
| contents | We classify connected étale algebras $A$'s in pre-modular fusion categories $\mathcal B$ with $\text{rank}(\mathcal B)\le3$ including degenerate and non-(pseudo-)unitary ones. We comment on Lagrangian algebras and physical applications to ground state degeneracy and proof of spontaneous $\mathcal B$-symmetry breaking. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15631 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of connected étale algebras in pre-modular fusion categories up to rank three Kikuchi, Ken Quantum Algebra Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Category Theory We classify connected étale algebras $A$'s in pre-modular fusion categories $\mathcal B$ with $\text{rank}(\mathcal B)\le3$ including degenerate and non-(pseudo-)unitary ones. We comment on Lagrangian algebras and physical applications to ground state degeneracy and proof of spontaneous $\mathcal B$-symmetry breaking. |
| title | Classification of connected étale algebras in pre-modular fusion categories up to rank three |
| topic | Quantum Algebra Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Category Theory |
| url | https://arxiv.org/abs/2311.15631 |