Year: 2024
Type: article
Abstract: We specialise the construction of orbifold graph TQFTs introduced in Carqueville et al. (Orbifold graph TQFTs) to Reshetikhin–Turaev defect TQFTs. We explain that the modular fusion category $$\mathcal {C}_\mathcal {A}$$ C A constructed in Mulevičius and Runkel (Quant Topol 13(3):459–523, 2023. https://doi.org/10.4171/QT/170 ) from an orbifold datum $$\mathcal {A}$$ A in a given modular fusion category $$\mathcal {C}$$ 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 $$\mathcal {C}_\mathcal {A}$$ C A is equivalent to the orbifold of the TQFT for $$\mathcal {C}$$ C with respect to the orbifold datum $$\mathcal {A}$$ A .
Institutions: University of Vienna, Universität Hamburg, University of Würzburg
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,890
OpenAlex ID: W4402602498