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 Mulevi\v{ c}ius-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 $\mathcal{ A}$.

Categories: math.QA hep-th math-ph math.MP

Reshetikhin-Turaev TQFTs close under generalised orbifolds