Fermionization and boundary states in 1+1 dimensions

Kavli Affiliate: Yuji Tachikawa

| First 5 Authors: Yoshiki Fukusumi, Yuji Tachikawa, Yunqin Zheng, ,

| Summary:

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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