• Corpus ID: 211011112

# Constructing modular categories from orbifold data

@article{Mulevicius2020ConstructingMC,
title={Constructing modular categories from orbifold data},
author={Vincentas Mulevicius and Ingo Runkel},
journal={arXiv: Quantum Algebra},
year={2020}
}
• Published 3 February 2020
• Mathematics
• arXiv: Quantum Algebra
In Carqueville et al., arXiv:1809.01483, the notion of an orbifold datum $\mathbb{A}$ in a modular fusion category $\mathcal{C}$ was introduced as part of a generalised orbifold construction for Reshetikhin-Turaev TQFTs. In this paper, given a simple orbifold datum $\mathbb{A}$ in $\mathcal{C}$, we introduce a ribbon category $\mathcal{C}_{\mathbb{A}}$ and show that it is again a modular fusion category. The definition of $\mathcal{C}_{\mathbb{A}}$ is motivated by properties of Wilson lines in…
5 Citations

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