06.02.2023 (Monday)

Dynamical consequences of 1-form and 2-group symmetries in Argyres-Douglas theories

Exceptional Seminar Alessandro Mininno (Hamburg)

at:
10:30 KCL
room K0.50
abstract:

In this talk, I will discuss the dynamical consequences of having 1-form and 2-group symmetries in Argyres-Douglas (AD) theories, particularly focusing on D_p(G) theories. I will first review how to construct (G,G') and D_p(G) theories from geometric engineering. Then, I will briefly review how 1-form symmetries are found in these AD theories, focusing on their dynamical consequences in the study of the Higgs branch for such theories. Analogously, I will show how certain D_p(G) theories enjoy a 2-group structure due to a non-trivial extension between a discrete 1-form symmetry and a continuous 0-form symmetry, emphasizing the dynamical consequences that a 2-group structure entails, and the family of AD theories that have it. If time permits it, I will show that it is possible to obtain an infinite family of AD theories starting from an arbitrary D_p(G) theory, where the theories in the same family share some properties. We called this "bootstrapping" of D_p(G) theories. The bootstrapping is also visible at the level of the 3d mirror theories of the D_p(G). My results are based mainly on arXiv:2203.16550 [hep-th] and arXiv:2208.11130 [hep-th].