Lecture Notes on Generalized Symmetries and Applications
High Energy Physics - Theory
2024-08-26 v3 Strongly Correlated Electrons
Mathematical Physics
math.MP
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/).
Cite
@article{arxiv.2307.09215,
title = {Lecture Notes on Generalized Symmetries and Applications},
author = {Ran Luo and Qing-Rui Wang and Yi-Nan Wang},
journal= {arXiv preprint arXiv:2307.09215},
year = {2024}
}
Comments
83 pages