Gapped Interfaces in Fracton Models and Foliated Fields
Abstract
This work investigates the gapped interfaces of 3+1d fracton phases of matter using foliated gauge theories and lattice models. We analyze the gapped boundaries and gapped interfaces in X cube model, and the gapped interfaces between the X-cube model and the toric code. The gapped interfaces are either "undecorated" or "decorated", where the "decorated" interfaces have additional Chern-Simons like actions for foliated gauge fields. We discover many new gapped boundaries and interfaces, such as (1) a gapped boundary for X-cube model where the electric lineons orthogonal to the interface become the magnetic lineons, the latter are the composite of magnetic planons; (2) a Kramers-Wannier-duality type gapped interface between the X-cube model and the toric code model from gauging planar subsystem one-form symmetry; and (3) an electromagnetic duality interface in the X-cube model that exchanges the electric and magnetic lineons.
Cite
@article{arxiv.2308.04489,
title = {Gapped Interfaces in Fracton Models and Foliated Fields},
author = {Po-Shen Hsin and Zhu-Xi Luo and Ananth Malladi},
journal= {arXiv preprint arXiv:2308.04489},
year = {2023}
}
Comments
36 pages, 10 figures