Intermediate vertex algebras and the 3d N=4 minimal SCFT

ADS seminar

Organizers：

数学物理团队

Speaker：

Heeyeon Kim (KAIST)

Time：

Thursday, 13:30-14:30

April 23, 2026

Venue：

B627, Shuangqing Complex Building

Title:

Intermediate vertex algebras and the 3d N=4 minimal SCFT

Abstract:

In this talk, I will present a three-dimensional field theory construction that realizes the vertex algebras associated with the intermediate Lie algebras as boundary algebras, filling the “missing hole” in the Mathur–Mukhi–Sen classification of two-character rational conformal field theories. The construction is based on the minimal three-dimensional N=4 superconformal field theory. I will explain that a Neumann-type boundary condition with a holomorphic-topological twist gives rise to the level-one affine algebras of the intermediate Lie algebras. I will also show that this boundary condition can be deformed to the topological A-twist, yielding a class of rational minimal W-algebras related to these intermediate vertex algebras, providing a uniform three-dimensional origin for these vertex algebras.