Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics
High Energy Physics - Theory
2021-02-10 v2 Strongly Correlated Electrons
High Energy Physics - Phenomenology
Abstract
We investigate a higher-group structure of massless axion electrodynamics in dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.
Keywords
Cite
@article{arxiv.2009.14368,
title = {Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics},
author = {Yoshimasa Hidaka and Muneto Nitta and Ryo Yokokura},
journal= {arXiv preprint arXiv:2009.14368},
year = {2021}
}
Comments
30 + 39 pages, 46 figures; v2: references and discussions added, published version