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arXiv · 2204.01924

Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries

Hosho Katsura·Yu Nakayama
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Abstract

We construct a purely fermionic system with spontaneously broken supersymmetry that shares the common feature with a fracton phase of matter. Our model is gapless due to the Nambu-Goldstone mechanism. It shows a ground-state degeneracy with the "Area-law" entropy due to fermionic subsystem symmetries. In the strongly coupled limit, it becomes a variant of the Nicolai model, and the ground-state degeneracy shows the "Volume-law" entropy. Gauging the fermionic subsystem symmetry has an t'Hooft anomaly by itself, but the would-be gauged theory may possess a fermionic defect that is immobile in certain spatial directions.

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Hosho Katsura, Yu Nakayama. 2022-04-05. Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries. https://doi.org/10.1007/jhep08(2022)072

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