期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2021)232
关键词
Anomalies in Field and String Theories; Field Theories in Higher Dimensions; Global Symmetries; Topological Field Theories
资金
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- National Science Foundation [NSF DMS 1664227]
- Simons Foundation through the Simons Investigator Award
- Center for Mathematical Sciences and Applications at Harvard University
- NSF [DMS-0932078]
This paper studies reductions of 6d theories on a d-dimensional manifold, focusing on the interplay between symmetries, anomalies, and dynamics in the resulting (6 -d)-dimensional theory. The refined notion of polarization on the manifold serves to determine the spectrum of operators in T[M-d], which often possess higher-group symmetries. Further investigations include analyzing physical implications such as symmetry breaking and enhancement in the renormalization group flow.
We study reductions of 6d theories on a d-dimensional manifold M-d, focusing on the interplay between symmetries, anomalies, and dynamics of the resulting (6 -d)-dimensional theory T[M-d]. We refine and generalize the notion of polarization to polarization on M-d, which serves to fix the spectrum of local and extended operators in T[M-d]. Another important feature of theories T[M-d] is that they often possess higher-group symmetries, such as 2-group and 3-group symmetries. We study the origin of such symmetries as well as physical implications including symmetry breaking and symmetry enhancement in the renormalization group flow. To better probe the IR physics, we also investigate the 't Hooft anomaly of 5d Chern-Simons matter theories. The present paper focuses on developing the general framework as well as the special case of d = 0 and 1, while an upcoming paper will discuss the case of d = 2, 3 and 4.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据