Higher form symmetries of Argyres-Douglas theories

Del Zotto, Michele; Etxebarria, Iñaki García; Hosseini, Saghar S.

Abstract

We determine the structure of 1-form symmetries for all 4d N = 2 theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that includes Argyres-Douglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1-form symmetries can be obtained via a careful analysis of the non-commutative behaviour of RR fluxes at infinity in the IIB setup. The final result admits a very compact field theoretical reformulation in terms of the BPS quiver. We illustrate our methods in detail in the case of the (g,g′) Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In those cases where N = 1 gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1-form symmetries of such N = 1 Lagrangian flows and those of the actual Argyres-Douglas fixed points, thus giving a consistency check for these proposals.

Citation

Del Zotto, M., Etxebarria, I. G., & Hosseini, S. S. (2020). Higher form symmetries of Argyres-Douglas theories. Journal of High Energy Physics, 2020(10), Article 056. https://doi.org/10.1007/jhep10%282020%29056

• Journal Article Type: Article
• Acceptance Date: Sep 12, 2020
• Online Publication Date: Oct 9, 2020
• Publication Date: 2020-10
• Deposit Date: Oct 16, 2020
• Publicly Available Date: Oct 16, 2020
• 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: 2020
• Issue: 10
• Article Number: 056
• DOI: https://doi.org/10.1007/jhep10%282020%29056
• Public URL: https://durham-repository.worktribe.com/output/1253817