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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Autor principal: Jin-Beom Bae, Sungjay Lee
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Lenguaje:EN
Publicado: SciPost 2021
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Acceso en línea:https://doaj.org/article/671d3b6e97334a23ba76178ce9668ac3
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Jin-Beom Bae, Sungjay Lee
Emergent supersymmetry on the edges
description 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.
format 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
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