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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 …
Chetan Vuppulury's user avatar
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 …