2020•arXiv (Cornell University)Open access

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

Andrey Gromov

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.

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Key concepts: Multipole expansion, Duality (order theory), Seiberg duality, Phase (matter), Theoretical physics, Code (set theory), Physics, Gauge (firearms)