4.4 Article

Symmetry-enriched quantum spin liquids in (3+1)d

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP09(2020)022

关键词

Anomalies in Field and String Theories; Global Symmetries; Topological Field Theories; Topological States of Matter

资金

  1. U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
  2. Simons Foundation
  3. National Science Foundation [PHY-1607611]

向作者/读者索取更多资源

We use the intrinsic one-form and two-form global symmetries of (3+1)d bosonic field theories to classify quantum phases enriched by ordinary (0-form) global symmetry. Different symmetry-enriched phases correspond to different ways of coupling the theory to the background gauge field of the ordinary symmetry. The input of the classification is the higher-form symmetries and a permutation action of the 0-form symmetry on the lines and surfaces of the theory. From these data we classify the couplings to the background gauge field by the 0-form symmetry defects constructed from the higher-form symmetry defects. For trivial two-form symmetry the classification coincides with the classification for symmetry fractionalizations in (2 + 1)d. We also provide a systematic method to obtain the symmetry protected topological phases that can be absorbed by the coupling, and we give the relative 't Hooft anomaly for different couplings. We discuss several examples including the gapless pure U(1) gauge theory and the gapped Abelian finite group gauge theory. As an application, we discover a tension with a conjectured duality in (3 + 1)d for SU(2) gauge theory with two adjoint Weyl fermions.

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