Speaker
Description
Vertex operator algebras are powerful and increasingly familiar algebraic invariant structures embedded into 4- and 3-dimensional SQFTs, where they encode distinguished algebras of local operators and capture exact information about the quantum field theories—such as symmetries, defects, protected spectra, and dualities—while making VOA representation-theoretic tools available. In particular, topologically twisted 3D N=4 SQFTs can support a vertex algebra on a 2D boundary, which provides a new, interesting analogue of established 3D/2D correspondences. [2312.13363], [2606.23807] have initiated a systematic construction and analysis of such vertex algebras for a rich class of 3D N=4 SQFTs, which are realised by intersecting brane systems in Type IIB string theory and which have holographic dual solutions in Type IIB supergravity. The approach in [2312.13363], [2606.23807] is geometric, constructing vertex algebras from the chiralization of corresponding Higgs branches. This talk will highlight the key insights revealed by chiral quantization, along with broader implications and expectations for the corresponding SQFTs.