More Exotic Field Theories in 3+1 Dimensions

TL;DR

This paper explores novel 3+1 dimensional continuum field theories with exotic symmetries and defects, extending fracton models and revealing new dualities and connections to lattice models like the X-cube.

Contribution

It introduces new continuum field theories with exotic symmetries and defects, linking them to fracton lattice models and expanding the understanding of fracton phases.

Findings

Identification of theories with restricted mobility defects

Establishment of dualities between models

Connection to the continuum limit of the plaquette Ising model

Abstract

We continue the exploration of nonstandard continuum field theories related to fractons in 3+1 dimensions. Our theories exhibit exotic global and gauge symmetries, defects with restricted mobility, and interesting dualities. Depending on the model, the defects are the probe limits of either fractonic particles, strings, or strips. One of our models is the continuum limit of the plaquette Ising lattice model, which features an important role in the construction of the X-cube model.