nLab
bosonization

Contents

Idea

In 2d CFT 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 (…) ({AlvaresGaume-Bost-Moore-Nelson-Vafa 87](AlvaresGaumeBostMooreNelsonVafa87))

References

Lecture notes and surveys include