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Boundary Supersymmetry of (1+1)D Fermionic Symmetry-Protected Topological Phases

Abstract:
We prove that the boundaries of all nontrivial (1+1)-dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or antiunitary), are supersymmetric quantum mechanical systems. This supersymmetry does not require any fine-tuning of the underlying Hamiltonian, arises entirely as a consequence of the boundary 't Hooft anomaly that classifies the phase, and is related to a "Bose-Fermi" degeneracy different in nature from other well known degeneracies such as Kramers doublets.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/physrevlett.126.236802

Authors

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Institution:
University of Oxford
Role:
Author
ORCID:
0000-0001-8096-8596
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Role:
Author
ORCID:
0000-0001-9396-9010


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Funder identifier:
10.13039/100000001
Grant:
DMS-1607871
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Funder identifier:
10.13039/100007229
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Funder identifier:
10.13039/100000893


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
126
Issue:
23
Pages:
236802-236802
Article number:
236802
Publication date:
2021-06-11
Acceptance date:
2021-05-07
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
Latvian
Keywords:
Pubs id:
1193557
Local pid:
pubs:1193557
Source identifiers:
W3109707091
Deposit date:
2026-03-26
ARK identifier:
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