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arXiv · 2103.00746

Fermionization and boundary states in 1+1 dimensions

Yoshiki Fukusumi·Yuji Tachikawa·Yunqin Zheng
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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.

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Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng. 2021-10-26. Fermionization and boundary states in 1+1 dimensions. https://doi.org/10.21468/scipostphys.11.4.082

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