Gapless edge modes in (4+1)-dimensional topologically massive tensor gauge theory and anomaly inflow for subsystem symmetry

Abstract

We consider (4+1)-dimensional topologically massive tensor gauge theory. This theory is an analog of the (2+1)-dimensional topologically massive Maxwell-Chern-Simons theory. If the space has a boundary, we find that a (3+1)-dimensional gapless theory appears at the boundary. This gapless theory is a chiral version of the (3+1)-dimensional $\phi$ theory. This gapless theory is protected by the anomaly inflow mechanism of subsystem symmetry. We also consider the corner of our topologically massive tensor gauge theory, and find that an infinite number of (1+1)-dimensional chiral bosons appear at the corner.

arXiv comment13 pages. v1: typos corrected, references added. v2: comments on the Chern-Simons level added, typos corrected, the appendix improved

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• Anomaly inflow for dipole symmetry and higher form foliated field theories
• Generalized symmetries in singularity-free nonlinear $\sigma$ models and their disordered phases
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