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Topological quantum field theory.

10 votes
Accepted

Does the Turaev-Viro theory for the generalized $E_6$ subfactor for $\mathbb{Z}/7$ distingui...

I think this paper of Wakui says that the answer is "No". The Turaev-Viro invariants associated to the generalized $E6$ subfactors for $\mathbb{Z}/7$ don't seem to distinguish $L(7,1)$ and $L(7,2)$.
Bruce Bartlett's user avatar
1 vote
Accepted

Does the following "symmetric" 2nd cohomology group of a finite group with coefficients in $...

I'm pretty sure now that $H^2_{sym} (\mathbb{Z}_4 \times \mathbb{Z}_2, \mathbb{Z}_2) = \mathbb{Z}_2 \times \mathbb{Z}_2$, so it can be nonzero. For comparison, in ordinary group cohomology $H^2 (\math …
Bruce Bartlett's user avatar
7 votes
Accepted

Does the notion of a "coherent state" exist in TQFTs? (ETQFTs?)

Yes they do. In the geometric quantization approach to the 3d Chern-Simons TQFT, the vector space assigned to a closed surface is a space of holomorphic sections of a certain line bundle. In this cont …
Bruce Bartlett's user avatar
10 votes

Interpreting the CS/WZW correspondence

One of the issues here is that if we define CS by its physics definition (action, fields) and similarly for WZW then it does seem like there is an equivalence. For example, on page 30 of http://arxi …
Bruce Bartlett's user avatar