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Reshetikhin–Turaev TQFTs Close Under Generalised Orbifolds
- Autor(en)
- Nils Carqueville, Vincentas Mulevicius, Ingo Runkel, Gregor Schaumann, Daniel Scherl
- Abstrakt
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 C
A constructed in Mulevičius and Runkel (Quant Topol 13(3):459–523, 2023. doi.org/10.4171/QT/170) from an orbifold datum A in a given modular fusion category 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 C
A is equivalent to the orbifold of the TQFT for C with respect to the orbifold datum A.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Universität Hamburg, Julius-Maximilians-Universität Würzburg
- Journal
- Communications in Mathematical Physics
- Band
- 405
- Anzahl der Seiten
- 46
- ISSN
- 0010-3616
- DOI
- https://doi.org/10.1007/s00220-024-05068-6
- Publikationsdatum
- 09-2021
- Peer-reviewed
- Ja
- ÖFOS 2012
- 101022 Topologie, 101001 Algebra, 103019 Mathematische Physik, 103024 Quantenfeldtheorie
- ASJC Scopus Sachgebiete
- Statistical and Nonlinear Physics, Mathematical Physics
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/545c5f49-0a88-4cd8-9899-f086e75d060b