タイトル：Plane Partition Realization of (Web of) W-algebra Minimal Models

アブストラクト：
Recently, Gaiotto and Rapcak proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing
at an intersection of five-branes. It is believed to be isomorphic to a truncation of affine Yangian of gl(1), whose  module
can be described by a plane partition. By gluing plane partitions, one can obtain various VOAs, which is referred to as
webs of W-algebras.
In this talk, I will discuss the minimal model realization of such VOAs using “double truncation” of plane partitions.
For a single plane partition, all the minimal model irreducible representations of W_N algebras are reproduced.
For the simplest nontrivial webs of W-algebras, N=2 superconforal algebra, we will see that the glued plane partitions
give the known character of N=2 unitary minimal models. This talk is based on the work arXiv:1810.08512 with Yutaka Matsuo.