Higher-form symmetry perspective on fracton phases

Higher form symmetry provides a framework to understand some aspects of topologically ordered phases. Motivated by this, we study the role that higher form symmetry plays in the context of fracton phases. We introduce the notion of a non-faithful higher form symmetry and describe how fractons can arise via condensation of objects charged under such a symmetry. Finally we describe how such a non-faithful higher form symmetry can arise as a quotient of an ordinary higher-form symmetry via gauging certain subgroups.