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...
Main Authors: | , |
---|---|
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 |
_version_ | 1818505050708770816 |
---|---|
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. |
first_indexed | 2024-12-10T21:45:28Z |
format | Article |
id | doaj.art-30d81d7542d74958bfefd46f5b919851 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-10T21:45:28Z |
publishDate | 2022-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |