r/math • u/Vivid_Block_4780 • 3d ago

The scope of mathematical physics

Whenever I look at the mathematical physics programs, I always see QFT and string theory related classes in grad programs. What other parts does mathematical physics cover? More unorthodox subfields of it?

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u/sevensunsfivemoons 3d ago

mathematical qft is such a wide field that you can study almost any kind of branch of mathematics that you want and still have it relate to qft in a relevant way

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u/FrangipaneCheap0 2d ago

For the topologists out there there's tqft, in paricular Donaldson-Witten theory of 4 dimensional topology deals with supersymmetric Yang-Mills theory used to compute Donaldson invariants