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Emergent supersymmetry on the edges

Abstract:
The WZW models describe the dynamics of the edge modes of Chern-Simons theories in three dimensions. We explore the WZW models which can be mapped to supersymmetric theories via the generalized Jordan-Wigner transformation. Some of such models have supersymmetric Ramond vacua, but the others break the supersymmetry spontaneously. We also make a comment on recent proposals that the Read-Rezayi states at filling fraction ν = 1/2, 2/3 are able to support supersymmetry.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/SciPostPhys.11.5.091

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
11
Issue:
5
Article number:
91
Publication date:
2021-11-16
Acceptance date:
2021-10-15
DOI:
EISSN:
2542-4653
Language:
English
Keywords:
Pubs id:
1210048
Local pid:
pubs:1210048
Deposit date:
2022-01-19

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