Fermionization and boundary states in 1+1 dimensions

Author:

Fukusumi Yoshiki1,Tachikawa Yuji2,Zheng Yunqin32

Affiliation:

1. University of Zagreb

2. Kavli Institute for the Physics and Mathematics of the Universe

3. Institute for Solid State Physics, University of Tokyo

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}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.

Funder

European Regional Development Fund

Japan Society for the Promotion of Science

Ministry of Education, Culture, Sports, Science and Technology

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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