Yaffe, LaurenceAitken, Kyle2021-08-262021-08-262021-08-262021Aitken_washington_0250E_22829.pdfhttp://hdl.handle.net/1773/47679Thesis (Ph.D.)--University of Washington, 2021In this work we discuss several aspects of the 3d bosonization dualities, which are a conjectured equivalence between Chern-Simons matter theories in $2+1$-dimensions. We propose a new phrase diagram for the most general 3d bosonization duality when the number of matter particles is large. We discuss how the most general form the dualities can be rendered consistent on a manifold with boundaries. Novel quiver dualities, both bosonic and fermionic, are constructed which serve as a generalization of the well-known particle-vortex duality and which also have application to domain walls in $3+1$-dimensional QCD. We argue the rank-one dualities can be connected to the rank-two dualities via an orbifolding procedure. Finally, we show how such $2+1$-dimensional dualities can be related to known $3+1$-dimensional electromagnetic duality.application/pdfen-USCC BYTheoretical physicsParticle physicsCondensed matter physicsPhysicsThesis