Boundary vertex algebras for 3d N=4 rank-0 SCFTs

by Andrea E.V. Ferrari

Monday 4 Dec 2023, 13:00 → 14:00 Europe/Berlin

Seminar room 2 (Building 2a)

Abstract: A class of three-dimensional N=4 SCFTs has recently been introduced that by definition have zero-dimensional Higgs and Coulomb branches. It is expected that their topological twists correspond to a remarkable class of 3d TQFTs described by non-unitary modular tensor categories. In this talk I will introduce boundary Vertex Operator Algebras (VOAs) for this class of TQFTs. On physical grounds, I will explain why it is reasonable to expect these VOAs to be rational. I will then explain how to explicitly construct the VOAs, and talk about novel level-rank dualities enjoyed by Virasoro minimal models that emerge from the simplest examples.