Fractons are excitations with mobility constraints that were proposed to constitute a novel phase of matter. Imprints of fractons were identified in the context of quantum error correction, elasticity and quantum Hall effect. Low energy dynamics of fracton theories presents itself with many exotic features and challenges. In order to have a detailed understanding of these phases it is useful to employ dualities. I will introduce several dualities that are used to unravel properties of fractons. In the first part of the talk I will focus on elastic dualities that map theories of elasticity to tensor gauge theories sourced by fractons. In the second part I will introduce a model of fractons that will be studied by means of the renormalization group approach. I will present a Berezinskii-Kosterlitz-Thouless transition of the fracton type that goes beyond known universality classes.
Host: Meng Cheng (m.cheng@yale.edu)