Reshetikhin-Turaev TQFTs close under generalised orbifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2021
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917982951702528 |
|---|---|
| author | Carqueville, Nils Mulevicius, Vincentas Runkel, Ingo Schaumann, Gregor Scherl, Daniel |
| author_facet | Carqueville, Nils Mulevicius, Vincentas Runkel, Ingo Schaumann, Gregor Scherl, Daniel |
| contents | We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion category ${\mathcal{C}}_{\mathcal{A}}$ constructed in Mulevičius-Runkel, arXiv:2002.00663 from an orbifold datum $\mathcal{A}$ in a given modular fusion category $\mathcal{C}$ is a special case of the Wilson line ribbon categories introduced as part of the general theory of orbifold graph TQFTs. Using this, we prove that the Reshetikhin-Turaev TQFT obtained from ${\mathcal{C}}_{\mathcal{A}}$ is equivalent to the orbifold of the TQFT for $\mathcal{C}$ with respect to the orbifold datum $\mathcal{A}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_04754 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Reshetikhin-Turaev TQFTs close under generalised orbifolds Carqueville, Nils Mulevicius, Vincentas Runkel, Ingo Schaumann, Gregor Scherl, Daniel Quantum Algebra High Energy Physics - Theory Mathematical Physics We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al., arXiv:2101.02482 to Reshetikhin-Turaev defect TQFTs. We explain that the modular fusion category ${\mathcal{C}}_{\mathcal{A}}$ constructed in Mulevičius-Runkel, arXiv:2002.00663 from an orbifold datum $\mathcal{A}$ in a given modular fusion category $\mathcal{C}$ is a special case of the Wilson line ribbon categories introduced as part of the general theory of orbifold graph TQFTs. Using this, we prove that the Reshetikhin-Turaev TQFT obtained from ${\mathcal{C}}_{\mathcal{A}}$ is equivalent to the orbifold of the TQFT for $\mathcal{C}$ with respect to the orbifold datum $\mathcal{A}$. |
| title | Reshetikhin-Turaev TQFTs close under generalised orbifolds |
| topic | Quantum Algebra High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2109.04754 |