# Exotic $\mathbb{Z}_N$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory

### Submission summary

 As Contributors: Shu-Heng Shao Arxiv Link: https://arxiv.org/abs/2004.06115v2 (pdf) Date submitted: 2020-06-09 Submitted by: Shao, Shu-Heng Submitted to: SciPost Physics Discipline: Physics Subject area: Condensed Matter Physics - Theory Approach: Theoretical

### Abstract

Following our earlier analyses of nonstandard continuum quantum field theories, we study here gapped systems in 3+1 dimensions, which exhibit fractonic behavior. In particular, we present three dual field theory descriptions of the low-energy physics of the X-cube model. A key aspect of our constructions is the use of discontinuous fields in the continuum field theory. Spacetime is continuous, but the fields are not.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2004.06115v2 on 9 June 2020