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arXiv · 2104.07015

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

Yen-Ta Huang·Dung-Hai Lee
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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 $SU(2)$ gauge theory of the $\pi$-flux phase, critical spin liquids in 1,2,3 spatial dimensions, and twisted bilayer graphene.

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Yen-Ta Huang, Dung-Hai Lee. 2021-04-14. Non-abelian bosonization in two and three spatial dimensions and applications. https://doi.org/10.1016/j.nuclphysb.2021.115565

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