Title: A new description of a Heisenberg vertex operator algebra
Abstract:For a vertex operator algebra, notions of semi-conformal subalgebras and semi-conformal vectors were first introduced by Jiang and Lin in \cite{JL2} to research vertex algebra commutant theory. Using ...For a vertex operator algebra, notions of semi-conformal subalgebras and semi-conformal vectors were first introduced by Jiang and Lin in \cite{JL2} to research vertex algebra commutant theory. Using these new objects, we attempt to investigate the structure theory of a vertex operator algebra. First, we formulate the set of semi-conformal vectors of a vertex operator algebra, then we show that it is an affine variety with a partial order and an involution map. Taking a Heisenberg vertex operator algebra as an example, we research properties of the algebraic variety of its semi-conformal vectors. Moreover, based on given results in the case of the Heisenberg vertex operator algebra, we give a new description of a Heisenberg vertex operator algebra.Read More
Publication Year: 2015
Publication Date: 2015-08-12
Language: en
Type: preprint
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot