Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
Hosho Katsura, Yu Nakayama
Abstract
A bstract 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.
Topics & Concepts
FractonPhysicsGapless playbackDegeneracy (biology)Homogeneous spaceGround stateSupersymmetryTheoretical physicsEntropy (arrow of time)Mathematical physicsQuantum mechanicsCondensed matter physicsMathematicsGeometryBioinformaticsBiologyMathematical analysisFractalQuantum many-body systemsPhysics of Superconductivity and MagnetismCold Atom Physics and Bose-Einstein Condensates