Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories

Understand

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 $(A_n, E_m)$ type.