Emergent supersymmetry on the edges

Bae, Jinbeom; Lee, Sungjay

doi:10.21468/SciPostPhys.11.5.091

SciPost Physics

Emergent supersymmetry on the edges

Jin-Beom Bae, Sungjay Lee

SciPost Phys. 11, 091 (2021) · published 16 November 2021

doi: 10.21468/SciPostPhys.11.5.091
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.5.091
TI  - Emergent supersymmetry on the edges
PY  - 2021/11/16
UR  - https://scipost.org/SciPostPhys.11.5.091
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 5
SP  - 091
A1  - Bae, Jinbeom
AU  - Lee, Sungjay
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.5.091,
	title={{Emergent supersymmetry on the edges}},
	author={Jin-Beom Bae and Sungjay Lee},
	journal={SciPost Phys.},
	volume={11},
	pages={091},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.5.091},
	url={https://scipost.org/10.21468/SciPostPhys.11.5.091},
}

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Authors / Affiliations: mappings to Contributors and Organizations

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¹ Jinbeom Bae,
² Sungjay Lee

Funder for the research work leading to this publication

Horizon 2020 (through Organization: European Commission [EC])