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Fermionization and boundary states in 1+1 dimensions

Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng

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


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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