An Introduction to Higher-Form Symmetries

Autor:	Gomes, Pedro R. S.
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Condensed Matter - Strongly Correlated Electrons
Zdroj:	SciPost Phys. Lect. Notes 74 (2023)
Druh dokumentu:	Working Paper
DOI:	10.21468/SciPostPhysLectNotes.74
Popis:	These notes are intended to be a pedagogical introduction to higher-form symmetries, which are symmetries whose charged objects are extended operators supported on lines, surfaces, and etc. This subject has been one of the most popular and effervescent topics of theoretical physics in recent years. Gauge theories are central in the study of higher-form symmetries, with Wilson and 't Hooft operators corresponding to the charged objects. Along these notes, we discuss in detail some basic aspects, including Abelian Maxwell and Chern-Simons theories, and $SU(N)$ non-Abelian gauge theories. We also discuss spontaneous breaking of higher-form symmetries. Comment: 73 pages, 13 figures, review notes, several typos corrected, references added, comments are welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.01817 Zobrazit plný text záznamu View this record from Arxiv