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...

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Main Authors: Hosho Katsura, Yu Nakayama
Format: Article
Language:English
Published: SpringerOpen 2022-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2022)072
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author Hosho Katsura
Yu Nakayama
author_facet Hosho Katsura
Yu Nakayama
author_sort Hosho Katsura
collection DOAJ
description 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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spelling doaj.art-30d81d7542d74958bfefd46f5b9198512022-12-22T01:32:22ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811710.1007/JHEP08(2022)072Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetriesHosho Katsura0Yu Nakayama1Department of Physics, The University of TokyoDepartment of Physics, Rikkyo UniversityAbstract 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.https://doi.org/10.1007/JHEP08(2022)072Anomalies in Field and String TheoriesField Theories in Lower DimensionsSupersymmetry Breaking
spellingShingle Hosho Katsura
Yu Nakayama
Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
Journal of High Energy Physics
Anomalies in Field and String Theories
Field Theories in Lower Dimensions
Supersymmetry Breaking
title Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
title_full Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
title_fullStr Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
title_full_unstemmed Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
title_short Spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
title_sort spontaneously broken supersymmetric fracton phases with fermionic subsystem symmetries
topic Anomalies in Field and String Theories
Field Theories in Lower Dimensions
Supersymmetry Breaking
url https://doi.org/10.1007/JHEP08(2022)072
work_keys_str_mv AT hoshokatsura spontaneouslybrokensupersymmetricfractonphaseswithfermionicsubsystemsymmetries
AT yunakayama spontaneouslybrokensupersymmetricfractonphaseswithfermionicsubsystemsymmetries