Timeline for What is the (quasi-) classical limit of categorified quantum groups?
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| Jun 17, 2016 at 19:10 | comment | added | Pavel Safronov | Having said that, I think the corresponding 5d TFT is "twice categorified Chern-Simons". Namely, it's a $\mathbf{Z}_2$-graded theory which to $S^3$ assigns the $\mathbb{E}_4$-category $U_{\hbar}(\mathfrak{g})-\mathrm{mod}$ with $\mathrm{deg}(\hbar) = -2$. | |
| Jun 17, 2016 at 19:07 | comment | added | Pavel Safronov | Two comments that might be obvious. 1. My understanding is that categorified quantum groups don't have a quantum parameter, so there's no way to talk about a classical limit. Namely, $\mathbf{Z}[q, q^{-1}]$ gets categorified to graded vector spaces. 2. In Witten's approach one of the key steps is S-duality (which gets rid of NS5 branes); in particular, the classical limit of the dual theory is different. | |
| Jun 17, 2016 at 11:48 | history | edited | Adrien | CC BY-SA 3.0 |
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| May 29, 2016 at 10:53 | history | asked | Adrien | CC BY-SA 3.0 |