21
votes
Fully extended TQFT and lattice models
It may take a bit of extraction, but positive answers to both of your questions follow from my results joint with Gaiotto in Condensations in higher categories (arXiv:1905.09566). In that paper we ...
- 52.2k
10
votes
Lagrangian of Reshetikhin-Turaev TFT's
I don't think there's a way to extract a Lagrangian from the Reshetikhin-Turaev construction. There's certainly not
a unique way to do so.
Physicists believe that most QFTs are "non-Lagrangian,&...
- 6,716
8
votes
Lagrangian of Reshetikhin-Turaev TFT's
It's an open conjecture by Moore and Seiberg (originally in the context of conformal field theory) that every MTC can be obtained from Chern-Simons theory of simple Lie groups with known constructions....
- 466
8
votes
Accepted
Brauer-Picard for a fusion category coming from a quantum group
As far as I know, no one has written this up, but I think you should be able to find the Brauer-Picard groupoid for quantum groups at roots of unity by the following techniques. Now that I've written ...
- 27.6k
3
votes
Accepted
Can the ribbon category of f.d. reps of $\mathcal{U}_q(\mathfrak{sl}(2))$ be modified so the twist is trivial on the vector representation?
There is a category built from the HOMFLYPT skein relation in the same way that $\mathcal U_q(\mathfrak sl(2))$ is built from the Kauffman skein relation. It is a version of $\mathcal U_q(\mathfrak ...
- 52.2k
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