Fermionization and boundary states in 1+1 dimensions

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 Specialties: Condensed Matter Physics - Theory High-Energy Physics - Theory Approach: Theoretical

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 $\mathbb{Z}_2$ 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.