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Emergent Supersymmetry on the Edges

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arxiv 2105.02148 v2 pith:O4WCY5M4 submitted 2021-05-05 hep-th cond-mat.str-el

Jin-Beom Bae , Sungjay Lee This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords modelssupersymmetrysupersymmetrictheoriesablebreakchern-simonscomment
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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 $\nu=1/2,~2/3$ are able to support supersymmetry.

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Cited by 1 Pith paper

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  1. Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

    hep-th 2025-02 conditional novelty 6.0 of 10

    Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersy...

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