Lecture notes on generalized symmetries and applications

被引：51
作者：
Luo, Ran [1 ]
Wang, Qing-Rui [2 ]
Wang, Yi-Nan [1 ,3 ]
机构：
[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
[2] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China
[3] Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China
来源：
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2024年 / 1065卷
基金：
中国国家自然科学基金;
关键词：
Symmetries; Quantum field theory; Topological phases of matter; Topological field theories; Anomalies; String theory; HIGHER ANOMALIES; STATES; CLASSIFICATION;
D O I：
10.1016/j.physrep.2024.02.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this lecture note, we give a basic introduction to the rapidly developing concepts of generalized symmetries, from the perspectives of both high energy physics and condensed matter physics. In particular, we emphasize on the (invertible) higher -form and higher group symmetries. For the physical applications, we discuss the geometric engineering of QFTs in string theory and the symmetry-protected topological (SPT) phases in condensed matter physics. The lecture note is based on a short course on generalized symmetries, jointly given by Yi-Nan Wang and Qing-Rui Wang in Feb. 2023, which took place at School of Physics, Peking University (https://indico.ihep.ac.cn/event/18796/). (c) 2024 Elsevier B.V. All rights reserved.
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页码：1 / 43
页数：43
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