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arXiv · 1507.06098

Two constructions of grading-restricted vertex (super)algebras

Yi-Zhi Huang
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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.

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Yi-Zhi Huang. 2015-07-22. Two constructions of grading-restricted vertex (super)algebras. https://arxiv.org/abs/1507.06098

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