Corpus ID: 119324811

Orbifolds of Reshetikhin-Turaev TQFTs

  title={Orbifolds of Reshetikhin-Turaev TQFTs},
  author={Nils Carqueville and Ingo Runkel and Gregor Schaumann},
  journal={arXiv: Quantum Algebra},
  • Nils Carqueville, Ingo Runkel, Gregor Schaumann
  • Published 2018
  • Mathematics, Physics
  • arXiv: Quantum Algebra
  • We construct three classes of generalised orbifolds of Reshetikhin-Turaev theory for a modular tensor category $\mathcal{C}$, using the language of defect TQFT from [arXiv:1705.06085]: (i) spherical fusion categories give orbifolds for the "trivial" defect TQFT associated to vect, (ii) $G$-crossed extensions of $\mathcal{C}$ give group orbifolds for any finite group $G$, and (iii) we construct orbifolds from commutative $\Delta$-separable symmetric Frobenius algebras in $\mathcal{C}$. We also… CONTINUE READING
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