Fermionization and boundary states in 1+1 dimensions

Fukusumi, Yoshiki; Tachikawa, Yuji; Zheng, Yunqin

doi:10.21468/SciPostPhys.11.4.082

SciPost Physics

Fermionization and boundary states in 1+1 dimensions

Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng

SciPost Phys. 11, 082 (2021) · published 25 October 2021

doi: 10.21468/SciPostPhys.11.4.082
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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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.11.4.082
TI  - Fermionization and boundary states in 1+1 dimensions
PY  - 2021/10/25
UR  - https://scipost.org/SciPostPhys.11.4.082
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 11
IS  - 4
SP  - 082
A1  - Fukusumi, Yoshiki
AU  - Tachikawa, Yuji
AU  - Zheng, Yunqin
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.11.4.082,
	title={{Fermionization and boundary states in 1+1 dimensions}},
	author={Yoshiki Fukusumi and Yuji Tachikawa and Yunqin Zheng},
	journal={SciPost Phys.},
	volume={11},
	pages={082},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.11.4.082},
	url={https://scipost.org/10.21468/SciPostPhys.11.4.082},
}

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Authors / Affiliations: mappings to Contributors and Organizations

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¹ Yoshiki Fukusumi,
² Yuji Tachikawa,
² ³ Yunqin Zheng

Funders for the research work leading to this publication