Symmetry protected topological phases and generalized cohomology

被引:0
作者
Davide Gaiotto
Theo Johnson-Freyd
机构
[1] Perimeter Institute for Theoretical Physics,
来源
Journal of High Energy Physics | / 2019卷
关键词
Effective Field Theories; Global Symmetries; Topological Field Theories; Topological States of Matter;
D O I
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学科分类号
摘要
We discuss the classification of SPT phases in condensed matter systems. We review Kitaev’s argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems [20, 23]. We propose a concrete description of that spectrum and of the corresponding cohomology theory. We compare our proposal to pre-existing constructions in the literature.
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