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
Formato: article
Lenguaje:EN
Publicado: SciPost 2021
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Acceso en línea:https://doaj.org/article/671d3b6e97334a23ba76178ce9668ac3
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Sumario: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.