Fermionic symmetry protected topological phases and cobordisms

被引：248

作者：

Kapustin, Anton ^{[1
]}

Thorngren, Ryan ^{[2
]}

Turzillo, Alex ^{[1
]}

Wang, Zitao ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2015年 / 12期

基金：

美国国家科学基金会;

关键词：

Topological Field Theories; Effective field theories; Topological States of Matter;

D O I：

10.1007/JHEP12(2015)052

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页码：1 / 21

页数：21

共 22 条

[1] STRUCTURE OF SPIN COBORDISM RING [J].