...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical review >Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases
【24h】

Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases

机译：三维玻色子阿贝尔对称保护拓扑相的拓扑量子场论

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Symmetry-protected topological phases (SPT) are short-range entangled gapped states protected by global symmetry. Nontrivial SPT phases cannot be adiabatically connected to the trivial disordered state (or atomic insulator) as long as certain global symmetry G is unbroken. At low energies, most of the two-dimensional SPTs with Abelian symmetry can be described by topological quantum field theory (TQFT) of the multicomponent Chem-Simons type. However, in contrast to the fractional quantum Hall effect where TQFT can give rise to interesting bulk anyons, TQFT for SPTs only supports trivial bulk excitations. The essential question in TQFT descriptions for SPTs is to understand how the global symmetry is implemented in the partition function. In this paper, we systematically study TQFT of three-dimensional SPTs with unitary Abelian symmetry (e.g., Z_(N_1), × Z_(N_2) × ...). In addition to the usual multicomponent BF topological term at level-1, we find that there are new topological terms with quantized coefficients (e.g., a~1 ∧ a~2 ∧ da~2 and a~1 ∧ a~2 ∧ a~3 ∧ a~4) in TQFT actions, where a~1a~2,... are l-form U(1) gauge fields. These additional topological terms cannot be adiabatically turned off as long as G is unbroken. By investigating symmetry transformations for the TQFT partition function, we end up with the classification of SPTs that is consistent with the well-known group cohomology approach. We also discuss how to gauge the global symmetry and possible TQFT descriptions of Dijkgraaf-Witten gauge theory.
机译：受对称性保护的拓扑阶段（SPT）是受全局对称性保护的短距离纠缠带隙状态。只要特定的全局对称性G未被破坏，非平凡的SPT相就不能绝热地连接到平凡的无序状态（或原子绝缘体）上。在低能量下，大多数具有阿贝尔对称性的二维SPT都可以通过多组分Chem-Simons型的拓扑量子场论（TQFT）来描述。但是，与分数量子霍尔效应（其中TQFT可以引起有趣的体积任意子）相反，用于SPT的TQFT仅支持微不足道的体积激发。 SQ的TQFT描述中的基本问题是了解如何在分区函数中实现全局对称。在本文中，我们系统地研究了具有单一阿贝尔对称性（例如Z_（N_1），×Z_（N_2）×...）的三维SPT的TQFT。除了在1级通常使用的多分量BF拓扑项外，我们发现还有一些新的具有量化系数的拓扑项（例如a〜1∧a〜2∧da〜2和a〜1∧a〜2∧a〜 3∧a〜4）在TQFT动作中，其中a〜1a〜2，...是l型U（1）规范场。只要G不中断，就不能绝妙地关闭这些其他拓扑项。通过研究TQFT分区函数的对称变换，我们得出了SPT的分类，该分类与众所周知的组同调方法一致。我们还将讨论如何测量Dijkgraaf-Witten规范理论的整体对称性和可能的​​TQFT描述。

著录项

  • 来源
    《Physical review》 |2016年第20期|205157.1-205157.11|共11页
  • 作者

    Peng Ye; Zheng-Cheng Gu;

  • 作者单位

    Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, Illinois 61801, USA,Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5;

    Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5,Department of Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号