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Reshetikhin-Turaev TQFTs close under generalised orbifolds

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arxiv 2109.04754 v1 pith:MT5ENE73 submitted 2021-09-10 math.QA hep-thmath-phmath.MP

classification math.QAhep-thmath-phmath.MP
keywords mathcalorbifoldtqftsreshetikhin-turaevarxivcategorydatumfusion
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abstract

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 $\mathcal{A}$.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Generalised Orbifolds and G-equivariantisation

    math.QA 2025-06 accept novelty 6.0 of 10

    Generalised orbifold categories of G-crossed ribbon categories are ribbon equivalent to G-equivariantisations, via an explicit functor.

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