Higher form symmetries of ArgyresDouglas theories
Abstract
We determine the structure of 1form 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 ArgyresDouglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1form symmetries can be obtained via a careful analysis of the noncommutative 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^{'}) ArgyresDouglas theories found by CecottiNeitzkeVafa. In those cases where N = 1 gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1form symmetries of such N = 1 Lagrangian flows and those of the actual ArgyresDouglas fixed points, thus giving a consistency check for these proposals.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2020
 DOI:
 10.1007/JHEP10(2020)056
 arXiv:
 arXiv:2007.15603
 Bibcode:
 2020JHEP...10..056D
 Keywords:

 Global Symmetries;
 Supersymmetric Gauge Theory;
 Conformal Field Models in String Theory;
 Duality in Gauge Field Theories;
 High Energy Physics  Theory
 EPrint:
 22 pages