Non-abelian bosonization in two and three spatial dimensions and applications
Strongly Correlated Electrons
2021-10-27 v2 Mathematical Physics
math.MP
Abstract
In this paper, we generalize Witten's non-abelian bosonization in -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 gauge theory of the -flux phase, critical spin liquids in 1,2,3 spatial dimensions, and twisted bilayer graphene.
Cite
@article{arxiv.2104.07015,
title = {Non-abelian bosonization in two and three spatial dimensions and applications},
author = {Yen-Ta Huang and Dung-Hai Lee},
journal= {arXiv preprint arXiv:2104.07015},
year = {2021}
}
Comments
v2: Slight revision of the twisted-bilayer graphene section. New references added