2-Group Symmetries and their Classification in 6d

Autor:	Apruzzi, Fabio, Bhardwaj, Lakshya, Gould, Dewi S. W., Schafer-Nameki, Sakura
Rok vydání:	2021
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We uncover 2-group symmetries in 6d superconformal field theories. These symmetries arise when the discrete 1-form symmetry and continuous flavor symmetry group of a theory mix with each other. We classify all 6d superconformal field theories with such 2-group symmetries. The approach taken in 6d is applicable more generally, with minor modifications to include dimension specific operators (such as instantons in 5d and monopoles in 3d), and we provide a discussion of the dimension-independent aspects of the analysis. We include an ancillary mathematica code for computing 2-group symmetries, once the dimension specific input is provided. We also discuss a mixed 't Hooft anomaly between discrete 0-form and 1-form symmetries in 6d. Comment: 61 pages, 1 ancillary mathematica code, v2: references and type 3' added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.14647 Zobrazit plný text záznamu View this record from Arxiv