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Higher form symmetries of Argyres-Douglas theories

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

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Authors

Michele Del Zotto



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 Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
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

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.





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