Exact Boson-Fermion Duality on a 3D Euclidean Lattice*

Recently there has been much interest in an IR "Boson-Fermion duality" in 3 spacetime dimensions. This duality generates many more dualities, forming the so-called "duality web"; some of these dualities have been extremely helpful in understanding intricate problems such as half-filled Landau level, insulator-superconductor transition, surface of strongly interacting topological insulator, etc. Despite the usefulness of these dualities, a solid foundation of them was in need. In this talk I will present how the elementary Boson-Fermion duality can be UV-completed as an exact mapping of lattice gauge theories, thereby providing a simple, non-perturbative proof of the IR Boson-Fermion duality and hence the entire duality web.