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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

19 votes

Number theory and physics

A really "real" example is the relation between integral quadratic forms (i.e. integral lattices) and conformal field theories of free compact bosons. The latter is basically defined by an integral la …
Meng Cheng's user avatar
9 votes

Lagrangian of Reshetikhin-Turaev TFT's

It's an open conjecture by Moore and Seiberg (originally in the context of conformal field theory) that every MTC can be obtained from Chern-Simons theory of simple Lie groups with known constructions …
Meng Cheng's user avatar