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 we conjecture that 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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Katsura, H., Nakayama, Y. Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries. J. High Energ. Phys. 2022, 72 (2022). https://doi.org/10.1007/JHEP08(2022)072
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DOI: https://doi.org/10.1007/JHEP08(2022)072