HET Seminar | Anton Kapustin, California Institute of Technology | "Bosonization in Two and Three Dimensions and Spin Structures”

Mon, Dec 12, 2016, 2:30 pm to Wed, Dec 7, 2016, 3:30 pm
Bloomberg Lecture Hall - Institute for Advanced Study
I will explain in examples how to incroporate the dependence on spin structure in fermionic lattice models. In two dimensions, I show to construct a spin-TQFT out of a superalgebra. In three dimensions, it turns out that fermionic lattice models are related to bosonic models with a global 1-form symmetry. This bosonization statement can be used to classify Symmetry Protected Topologicall phases of fermions.