paper

Non-abelian bosonization in two and three spatial dimensions and applications

arXiv:2104.07015 · doi:10.1016/j.nuclphysb.2021.115565

Abstract

In this paper, we generalize Witten's non-abelian bosonization in $(1 + 1)$ -D to two and three spatial dimensions. Our theory applies to fermions with relativistic dispersion. The bosonized theories are non-linear sigma models with level-1 Wess-Zumino-Witten terms. We apply the bosonization results to the $S U (2)$ gauge theory of the $I ¨ $ -flux phase, critical spin liquids in 1,2,3 spatial dimensions, and twisted bilayer graphene.

v2: Slight revision of the twisted-bilayer graphene section. New references added