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Fermionization and boundary states in 1+1 dimensions

by Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng

Submission summary

As Contributors: Yunqin Zheng
Preprint link: scipost_202107_00026v1
Date submitted: 2021-07-14 16:03
Submitted by: Zheng, Yunqin
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical


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 $\mathbb{Z}_2$ 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.

Current status:
Editor-in-charge assigned

List of changes

1. Added more discussions on boundary conditions and boundary states in the introduction section.
2. Added further justifications to the fermionization maps of the boundary states in section 2.
3. Changes which are requested by the referees are implemented.

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