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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
13
votes
Applications of super-mathematics to non-super mathematics
A very interesting connection between supergeometry and 'classical mathematics' is the Stolz-Teichner programme. They have shown deep connections between moduli spaces of supersymmetric quantum field …
10
votes
2
answers
1k
views
Path integral derivation of extended TQFT
I know this isn't exactly a math question, but I am asking it here anyway. We define an extended TQFT to be a functor (preserving tensor products) from the $\left(\infty,n\right)$-category of cobordis …
3
votes
0
answers
337
views
Intuition for conformal nets
I was planning on reading the work of Arthur Bartels, Christopher L. Douglas and André Henriques on the 3-category of conformal nets as discussed in these papers: Coordinate-free nets, Conformal block …