algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)
quantum mechanical system, quantum probability
interacting field quantization
spin geometry, string geometry, fivebrane geometry …
rotation groups in low dimensions:
see also
In (2d) conformal field theories, certain fermion-fields may be re-expressed as chiral boson fields – this is called bosonization.
The converse of bosonization explains for instance why chiral bosons have partition functions like Pfaffian line bundles in 2d, namely theta functions (…) (Alvares-Gaumé-, Bost, Moore, Nelson & Vafa 1987).
Lecture notes and surveys include
See also:
Wikipedia, Bosonization
Luis Alvarez-Gaumé, Jean-Benoit Bost, Gregory Moore, Philip Nelson, Cumrun Vafa, Bosonization on higher genus Riemann surfaces, Communications in Mathematical Physics, Volume 112, Number 3 (1987), 503-552 (Euclid)
Discussion for 3d CFTs (such as the ABJM model):
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