A uniform construction of holomorphic VOAs of central charge 24
发布人: 曹思圆   发布时间: 2019-10-24   浏览次数: 37

主讲人:Ching-Hung Lam (林正洪 教授)  Academia Sinica

主持人:焦翔宇

开始时间: 2019-10-24 (周四) 下午 2:00 - 3:00


摘要: Recently, G. Hoehn has proposed a method for constructing all holomorphic vertex operator algebras in Schellekens' list  using the Leech lattice.  His idea is in some sense a generalization of the theory of Cartan subalgebras to VOA. The main idea is to study the commutant subVOA of the subVOA generated by a Cartan subalgebra of $V_1$ and try to construct a holomorphic VOA using certain simple current extensions of lattice VOAs and some orbifold subVOAs in the Leech lattice VOA.In this talk, we will explain his idea in detail and try to realize his proposed constructions.