Emergent supersymmetry on the edges
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 t...
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oai:doaj.org-article:671d3b6e97334a23ba76178ce9668ac32021-11-16T17:53:13ZEmergent supersymmetry on the edges2542-465310.21468/SciPostPhys.11.5.091https://doaj.org/article/671d3b6e97334a23ba76178ce9668ac32021-11-01T00:00:00Zhttps://scipost.org/SciPostPhys.11.5.091https://doaj.org/toc/2542-4653The 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 $\nu=1/2,~2/3$ are able to support supersymmetry.Jin-Beom Bae, Sungjay LeeSciPostarticlePhysicsQC1-999ENSciPost Physics, Vol 11, Iss 5, p 091 (2021) |
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Physics QC1-999 |
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Physics QC1-999 Jin-Beom Bae, Sungjay Lee Emergent supersymmetry on the edges |
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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 $\nu=1/2,~2/3$ are able to support supersymmetry. |
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article |
author |
Jin-Beom Bae, Sungjay Lee |
author_facet |
Jin-Beom Bae, Sungjay Lee |
author_sort |
Jin-Beom Bae, Sungjay Lee |
title |
Emergent supersymmetry on the edges |
title_short |
Emergent supersymmetry on the edges |
title_full |
Emergent supersymmetry on the edges |
title_fullStr |
Emergent supersymmetry on the edges |
title_full_unstemmed |
Emergent supersymmetry on the edges |
title_sort |
emergent supersymmetry on the edges |
publisher |
SciPost |
publishDate |
2021 |
url |
https://doaj.org/article/671d3b6e97334a23ba76178ce9668ac3 |
work_keys_str_mv |
AT jinbeombaesungjaylee emergentsupersymmetryontheedges |
_version_ |
1718426305299480576 |