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

Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries