Higher form symmetries of Argyres-Douglas theories
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.
- 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
- E-Print:
- 22 pages