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arXiv · 2307.09215

Lecture Notes on Generalized Symmetries and Applications

Ran Luo·Qing-Rui Wang·Yi-Nan Wang
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Abstract

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/).

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Ran Luo, Qing-Rui Wang, Yi-Nan Wang. 2023-07-18. Lecture Notes on Generalized Symmetries and Applications. https://doi.org/10.1016/j.physrep.2024.02.002

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