Title: Semi-conformal vectors of (Unitary) Heisenberg vertex operator algebras and conformal nets

Speaker:  Prof. Yanjun Chu ( Henan University )

Time: Sun, Nov.15 2020, PM: 16:00-17:00

Location:  Tencent Conference

Meeting Number: 228 697 845

Password: 201115

Inviter: Dr. Ming Liu

Abstract：

     The goal of this talk is to understand Heisenberg vertex algebras in terms of their semi-conformal structures. We first study semi-conformal structures on a general vertex operator algebra. For non-standard Heisenberg vertex operator algebras, we describe their semi-conformal vectors as pairs consisting of regular subspaces and the projections of h in these regular subspaces. Then we get all G-orbits of varieties of their semi-conformal vectors and give characterizations of Heisenberg vertex operator algebras. Moreover, we describe their semi-conformal unitary subalgebras. As similar as the concepts of conformal nets over s^1, we study the conformal nets associated to varieties of semi-conformal vectors of a unitary vertex operator algebra. As an example, we realize the conformal nets associated to varieties of semi-conformal vectors over s^1 in terms of the unitary Heisenberg vertex operator algebra with rank 2. This is joint work with Zongzhu Lin.