Higher form symmetries of Argyres-Douglas theories

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 ga...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2020; no. 10; pp. 1 - 23
Main Authors: Del Zotto, Michele, Etxebarria, Iñaki García, Hosseini, Saghar S.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020
SpringerOpen
Subjects:
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Duality in Gauge Field Theories
Elementary Particles
Global Symmetries
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetric Gauge Theory
Global Symmetries
Conformal Field Models in String Theory
Duality in Gauge Field Theories
Supersymmetric Gauge Theory
ISSN:1029-8479, 1126-6708, 1029-8479
Online Access:Get full text
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Summary: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.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP10(2020)056