Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories

Carta, Federico; Giacomelli, Simone; Mekareeya, Noppadol; Mininno, Alessandro

Abstract

Higher-form symmetries have proved useful in constraining the dynamics of a number of quantum field theories. In the context of the Argyres-Douglas (AD) theories of the (G, G0 ) type, we find that the 1-form symmetries are invariant under the Higgs branch flow, and that they are captured by the non-Higgsable sector at a generic point on the Higgs branch of the AD theory in question. As a consequence, dimensional reduction of an AD theory with a non-trivial 1-form symmetry to 3d leads to a free sector. We utilize these observations, along with other results, to propose systematically the mirror theories for the AD theories of the (An, Em) type. As a by-product of these findings, we discover many important results: the Flip-Flip duality for all T[G] theories with simplylaced group G, including the exceptional ones; the class S descriptions of exceptional affine Dynkin diagram such that all gauge groups are special unitary; the universality of the mirror theories for Dh ∨ G (G) with h ∨ G the dual Coxeter number of G; and the triviality of the 2-group structure in the (An, Em) theories.

Citation

Carta, F., Giacomelli, S., Mekareeya, N., & Mininno, A. (2022). Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories. Journal of High Energy Physics, 2022(6), Article 59. https://doi.org/10.1007/jhep06%282022%29059

• Journal Article Type: Article
• Acceptance Date: May 16, 2022
• Online Publication Date: Jun 13, 2022
• Publication Date: 2022-06
• Deposit Date: Jul 8, 2022
• Publicly Available Date: Jul 8, 2022
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 6
• Article Number: 59
• DOI: https://doi.org/10.1007/jhep06%282022%29059
• Public URL: https://durham-repository.worktribe.com/output/1199228