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- W4367000376 abstract "The inclusion of the unit in a braided tensor category $mathcal{V}$ induces a 1-morphism in the Morita 4-category of braided tensor categories $BrTens$. We give criteria for the dualizability of this morphism. When $mathcal{V}$ is a semisimple (resp. non-semisimple) modular category, we show that the unit inclusion induces under the Cobordism Hypothesis a (resp. non-compact) relative 3-dimensional topological quantum field theory. Following Jordan--Safronov, we conjecture that these relative field theories together with their bulk theories recover Witten--Reshetikhin--Turaev (resp. De Renzi--Gainutdinov--Geer--Patureau-Mirand--Runkel) theories, in a fully extended setting. In particular, we argue that these theories can be obtained by the Cobordism Hypothesis." @default.
- W4367000376 created "2023-04-27" @default.
- W4367000376 creator A5049380615 @default.
- W4367000376 date "2023-04-24" @default.
- W4367000376 modified "2023-10-18" @default.
- W4367000376 title "Unit inclusion in a (non-semisimple) braided tensor category and (non-compact) relative TQFTs" @default.
- W4367000376 doi "https://doi.org/10.48550/arxiv.2304.12167" @default.
- W4367000376 hasPublicationYear "2023" @default.
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