Fracton Topological Phases and New Type of Symmetries

Abstract

Modulated symmetries have recently emerged in the context of fracton topological phases―unusual topologically ordered phases admitting fractionalized excitations with mobility constraints. Via gauging dipole symmetry, which is one of the modulated symmetries, we construct a new type of field theory hosting dipole of anyons. The result would contribute to better understanding of fracton topological phases.