The classification of semi-conformal structures of Heisenberg vertex operator algebras

被引：0

作者：

Chu, Yanjun ^{[1
]}

Lin, Zongzhu ^{[2
]}

机构：

[1] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China

[2] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2024年 / 200卷

关键词：

Vertex Operator Algebra; Semi-conformal vector; Heisenberg vertex algebra; Semi-conformal subalgebra; DECOMPOSITION; VECTORS; SUBFACTORS; VARIETIES;

D O I：

10.1016/j.geomphys.2024.105193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to understand Heisenberg vertex algebras in terms of their semi-conformal structures. First, we study the moduli space of conformal and semi-conformal structures on Heisenberg vertex algebras that have the standard fixed conformal gradation by describing their automorphism groups. We describe its semi-conformal vectors as pairs consisting of regular subspaces and the projections of a fixed vector space in these regular subspaces. Then by automorphism groups G of Heisenberg vertex operator algebras, we get all G - orbits of varieties of their semi-conformal vectors and give some characterizations of Heisenberg vertex operator algebras. (c) 2024 Elsevier B.V. All rights reserved.

引用

页数：17

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