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Results tagged with topological-quantum-field-theory
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user 582
Topological quantum field theory.
12
votes
Accepted
What do decategorification and "compactification on a circle" have to do with each other?
In a general extended TQFT Z, the assignment $Z(X \times S^1)$ is the "dimension" of Z(X), in the following sense. Write the circle as an incoming arc followed by an outgoing arc. The incoming arc is …
- 5,701
8
votes
Defining extended TQFTs *with point, line, surface, … operators*
Yes there's a very natural way to incorporate defects of arbitrary dimension into the formalism of extended topological field theory, and this is a vital part of the structure of TQFT. For example in …
- 12.9k
13
votes
Relationship between the TQFTs in Kapustin-Witten and Ben-Zvi-Sakellaridis-Venkatesh
The (fairly poetic and ill-formed) idea in this story is that the Kapustin-Witten story and the Langlands program are about the SAME four-dimensional TQFTs, but evaluated on different "manifolds" - i. …
- 24k
4
votes
Accepted
Uses for (Framed) E2 algebras twisted by braided monoidal structure
I don't know specific references (the papers - in reverse chronological order - of Liang Kong, Hao Zheng, Ingo Runkel, Christoph Schweigert and Jurgen Fuchs is where I'd start), but the notion is cert …
- 24k
5
votes
Path integral derivation of extended TQFT
The original motivation for extended TQFTs (as introduced by Freed, Lawrence, Baez-Dolan) is indeed giving a finer form of locality, as explained by Dmitri Pavlov. However I think there are two quicke …
- 24k