GP seminar: 3D TQFT bridging 4D SCFT and 2D VOA

Abstract: A new perspective for understanding the 4D SCFT / 2D VOA has recently been suggested and tested. In this talk, I'm going to tell my recent works on a construction for 3D TQFT which mediates the 4D N=2 SCFT and 2D VOA correspondence. In particular, the construction uses Coulomb branch BPS spectrum of the 4D SCFT to read the partition function of 3D TQFT from a wall-crossing invariant. By making use of the TQFT and SUSY localization techniques, we compute modular data of the TQFT which are compatible with that of the expected 2D VOA. A natural extension for constructing a family of 3D TQFTs connected by Galois conjugation is also possible. We particularly consider (G,G') Argyres-Douglas theories

This is a seminar in the Centre of Geometry and Physics seminar series.