Emergent Supersymmetry on the Edges
High Energy Physics - Theory
2021-11-22 v2 Strongly Correlated Electrons
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 are able to support supersymmetry.
Cite
@article{arxiv.2105.02148,
title = {Emergent Supersymmetry on the Edges},
author = {Jin-Beom Bae and Sungjay Lee},
journal= {arXiv preprint arXiv:2105.02148},
year = {2021}
}
Comments
47 pages. We added in the revised manuscript a few paragraphs clarifying the role of fermionization to show emergent supersymmetry of the chiral theory on the edges