Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries

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.

20 pages, v2: minor changes, reference added

References in corpus (4)

• A Generalization of Sachdev-Ye-Kitaev
• Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
• Supersymmetry breaking and Nambu-Goldstone fermions with cubic dispersion
• Fractons and exotic symmetries from branes

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