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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| Format: | Article |
| Language: | English |
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SciPost
2021-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.5.091 |
| Summary: | 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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| ISSN: | 2542-4653 |