Discrete anomalies and generalized symmetries from 3d superconformal indices

by Dr Matteo Sacchi (Oxford University)

Monday 19 Jun 2023, 13:00 → 14:00 Europe/Berlin

SR2 (Building 2a)

Abstract: Generalized symmetries and their anomalies have proved to be useful in providing non-trivial constraints on the dynamics of QFTs. A natural question is whether these are related in any way to supersymmetric partition functions or indices, which have also been used extensively to study SQFTs. In this talk, we address this question in the context of 3d $\mathcal{N} \geq 2$ gauge theories using the superconformal index. In particular, using the index we are able to detect discrete anomalies for 0- and 1-form symmetries. Gauging appropriate symmetries involved in such anomalies, we can then obtain theories with two-group structures or non-invertible symmetries. Time permitting, I will also discuss an application in the context of anomaly matching for the compactification of 5d SCFTs to 3d.

seminar_v2.pdf