Two constructions of grading-restricted vertex (super)algebras
arXiv:1507.06098
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.
arXiv comment26 pages. Misprints are corrected. To appear in Journal of Pure and Applied Algebra