A Duality Between U(1) Haah Code and 3D Smectic A Phase
arXiv:2002.11817
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.
5 pages
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