We investigate two dimensional compactifications of three dimensional fractonic stabilizer models. We find the two dimensional topological phases produced as a function of compactification radius for the X-cube model and Haah's cubic code. Furthermore, we uncover translation symmetry-enrichment in the compactified cubic code that leads to twisted boundary conditions.
@article{arxiv.1903.12246,
title = {Compactifying fracton stabilizer models},
author = {Arpit Dua and Dominic J. Williamson and Jeongwan Haah and Meng Cheng},
journal= {arXiv preprint arXiv:1903.12246},
year = {2019}
}