Thu, Jan 14, 2016, 1:00 pm to 2:00 pm
Recently, our classification of phases of matter has expanded to include “symmetry protected” phases, allowing us to identify multiple different phases with the same unbroken symmetry. In 3 spatial dimensions (3D), the different possible symmetry protected phases are closely related to 2D phases that cannot be realized with the corresponding symmetry. I will discuss two different ways in which a symmetry can be consistently realized on the surface of a 3D system, while being fundamentally flawed in the analogous 2D system (i.e. without the presence of the bulk). I will also consider the impact of gauging these symmetries, and what are the unusual characteristics of the corresponding 3D topologically ordered phases.