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Topological quantum field theory.

2 votes

Original reference for generators and relations of 2-dimensional TQFT

Moore and Segal provide a list of references, but they also implicitly attribute it to folklore and/or Dan Friedan.
Aaron Bergman's user avatar
10 votes
Accepted

B-model and Hochschild cohomology

The boundary conditions of the B-model, ie, the D-branes, are the objects in $\mathcal{D}^b(X)$. A little bit of playing with pictures gives that the space of closed string states must be in the cente …
Aaron Bergman's user avatar
11 votes
Accepted

What are some mathematical consequences of the study of 6D $\mathcal N = (2,0)$ SCFT?

If you take the (2,0) theory and put it on a manifold which is $T^2 \times M_4$, it is known to reduce to $\mathcal{N} = 4$ super-Yang Mills theory on $M_4$. That theory exhibits S-duality, which has …
Aaron Bergman's user avatar