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

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arxiv 2110.12861 v3 pith:7IZK7MFJ submitted 2021-10-25 hep-th cond-mat.str-el

classification hep-thcond-mat.str-el
keywords theorydimensionalgaplessmassivetopologicallygaugetensoranomaly
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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 $\varphi$ 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.

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  1. Exotic massive fermionic systems with huge vacuum degeneracy at boundaries

    hep-th 2025-01 conditional novelty 6.0 of 10

    Adding a mass term to the ψ theory leaves a gapped bulk but generates a boundary flat band of Majorana zero modes, yielding ground state entropy proportional to the boundary area.

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