期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2019)026
关键词
Anomalies in Field and String Theories; Conformal Field Theory; Global Symmetries
资金
- U.S. Department of Energy [DE-SC0009999]
- Sherman Fairchild Foundation
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- National Science Foundation [PHY-1314311]
- US NSF [PHY-1620059]
- Simons Foundation [488653]
- Simons Investigator Award from the Simons Foundation
- DOE [DE-FG02-91ER40654]
- Zurich Insurance Company Membership
We consider topological defect lines (TDLs) in two-dimensional conformal field theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs together with their attached defect operators provide models of fusion categories without braiding. We study the crossing relations of TDLs, discuss their relation to the 't Hooft anomaly, and use them to constrain renormalization group flows to either conformal critical points or topological quantum field theories (TQFTs). We show that if certain non-invertible TDLs are preserved along a RG flow, then the vacuum cannot be a non-degenerate gapped state. For various massive flows, we determine the infrared TQFTs completely from the consideration of TDLs together with modular invariance.
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