CMSA Quantum Matter in Mathematics and Physics: Non-abelian bosonization in two and three spatial dimensions and some applications
Dung-Hai Lee - UC Berkeley
In this talk, 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. As applications, we apply the bosonization results to the $SU(2)$ gauge theory of the $\pi$ flux mean-field theory of half-filled Hubbard model, critical spin liquids of "bipartite-Mott insulators'' in 1,2,3 spatial dimensions, and twisted bilayer graphene.