期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2017)096
关键词
Anomalies in Field and String Theories; Discrete Symmetries; Topological Field Theories; Topological States of Matter
资金
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
It is possible to describe fermionic phases of matter and spin-topological field theories in 2+1d in terms of bosonic shadow theories, which are obtained from the original theory by gauging fermionic parity. The fermionic/spin theories are recovered from their shadow by a process of fermionic anyon condensation: gauging a one-form symmetry generated by quasi-particles with fermionic statistics. We apply the formalism to theories which admit gapped boundary conditions. We obtain Turaev-Viro-like and Levin-Wen-like constructions of fermionic phases of matter. We describe the group structure of fermionic SPT phases protected by Z(2)(f) x G. The quaternion group makes a surprise appearance.
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