Classification of connected étale algebras in modular fusion categories up to rank five
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909187089367040 |
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| author | Kikuchi, Ken |
| author_facet | Kikuchi, Ken |
| contents | We classify connected étale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13353 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of connected étale algebras in modular fusion categories up to rank five Kikuchi, Ken Quantum Algebra Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Category Theory We classify connected étale algebras in (possibly non-unitary) modular fusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models. |
| title | Classification of connected étale algebras in modular fusion categories up to rank five |
| topic | Quantum Algebra Strongly Correlated Electrons High Energy Physics - Theory Mathematical Physics Category Theory |
| url | https://arxiv.org/abs/2312.13353 |