English

A Duality Between U(1) Haah Code and 3D Smectic A Phase

Strongly Correlated Electrons 2020-02-28 v1 Mesoscale and Nanoscale Physics High Energy Physics - Theory

Abstract

We describe a duality between multipole gauge theories and spatially ordered phases. Our main example is a duality between the multipole gauge theory description of the U(1) Haah code and smectic A phase in three spatial dimensions. We show how multipole symmetries restrict the mobility of dislocations and disclinations in smectic A phase. Finally, we exhibit a 2D version of the duality.

Cite

@article{arxiv.2002.11817,
  title  = {A Duality Between U(1) Haah Code and 3D Smectic A Phase},
  author = {Andrey Gromov},
  journal= {arXiv preprint arXiv:2002.11817},
  year   = {2020}
}

Comments

5 pages

R2 v1 2026-06-23T13:55:22.069Z