English

Fermionization and boundary states in 1+1 dimensions

High Energy Physics - Theory 2021-10-27 v2 Strongly Correlated Electrons

Abstract

In the last few years it was realized that every fermionic theory in 1+1 dimensions is a generalized Jordan-Wigner transform of a bosonic theory with a non-anomalous Z2\mathbb{Z}_2 symmetry. In this note we determine how the boundary states are mapped under this correspondence. We also interpret this mapping as the fusion of the original boundary with the fermionization interface.

Keywords

Cite

@article{arxiv.2103.00746,
  title  = {Fermionization and boundary states in 1+1 dimensions},
  author = {Yoshiki Fukusumi and Yuji Tachikawa and Yunqin Zheng},
  journal= {arXiv preprint arXiv:2103.00746},
  year   = {2021}
}

Comments

39 pages, 3 figures

R2 v1 2026-06-23T23:36:06.781Z