Two constructions of grading-restricted vertex (super)algebras
Quantum Algebra
2016-06-10 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We give two constructions of grading-restricted vertex (super)algebras. We first give a new construction of a class of grading-restricted vertex (super)algebras originally obtained by Meurman and Primc using a different method. This construction is based on a new definition of vertex operators and a new method. Our second construction is a generalization of the author's construction of the moonshine module vertex operator algebra and a related vertex operator superalgebra. This construction needs properties of intertwining operators formulated and proved by the author.
Cite
@article{arxiv.1507.06098,
title = {Two constructions of grading-restricted vertex (super)algebras},
author = {Yi-Zhi Huang},
journal= {arXiv preprint arXiv:1507.06098},
year = {2016}
}
Comments
26 pages. Misprints are corrected. To appear in Journal of Pure and Applied Algebra