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2023

A Chern-Simons theory for dipole symmetry

Huang, Xiaoyang

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We present effective field theories for dipole symmetric topological matters that can be described by the Chern-Simons theory.

Unlike most studies using higher-rank gauge theory, we develop a framework with both U(1) and dipole gauge fields.
As a result, only the highest multipole symmetry can support the 't Hooft anomaly.
We show that with appropriate point group symmetries, the dipolar Chern-Simons theory can exist in any dimension and, moreover, the bulk-edge correspondence can depend on the boundary.

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