期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2015)052
关键词
Topological Field Theories; Effective field theories; Topological States of Matter
资金
- SCOAP3
- Direct For Mathematical & Physical Scien [0943745] Funding Source: National Science Foundation
- Division Of Mathematical Sciences [0943745] Funding Source: National Science Foundation
It has been proposed recently that interacting Symmetry Protected Topological Phases can be classified using cobordism theory. We test this proposal in the case of Fermionic SPT phases with Z(2) symmetry, where Z(2) is either time-reversal or an internal symmetry. We find that cobordism classification correctly describes all known Fermionic SPT phases in space dimension D <= 3 and also predicts that all such phases can be realized by free fermions. In higher dimensions we predict the existence of inherently interacting fermionic SPT phases.
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