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- Title
Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories.
- Authors
Carta, Federico; Giacomelli, Simone; Mekareeya, Noppadol; Mininno, Alessandro
- Abstract
Higher-form symmetries have proved useful in constraining the dynamics of a number of quantum field theories. In the context of the Argyres-Douglas (AD) theories of the (G, G′) type, we find that the 1-form symmetries are invariant under the Higgs branch flow, and that they are captured by the non-Higgsable sector at a generic point on the Higgs branch of the AD theory in question. As a consequence, dimensional reduction of an AD theory with a non-trivial 1-form symmetry to 3d leads to a free sector. We utilize these observations, along with other results, to propose systematically the mirror theories for the AD theories of the (An, Em) type. As a by-product of these findings, we discover many important results: the Flip-Flip duality for all T[G] theories with simply-laced group G, including the exceptional ones; the class S descriptions of exceptional affine Dynkin diagram such that all gauge groups are special unitary; the universality of the mirror theories for D h G ∨ (G) with h G ∨ the dual Coxeter number of G; and the triviality of the 2-group structure in the (An, Em) theories.
- Subjects
QUANTUM field theory; DYNKIN diagrams; YANG-Mills theory; QUANTUM numbers; SYMMETRY; DUALITY (Nuclear physics); QUANTUM theory; HIGGS bosons
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 6, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP06(2022)059