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arXiv · 1902.06951

$6A$-Algebra and its representations

Chongying Dong·Xiangyu Jiao·Nina Yu
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Abstract

In this paper, we study the structure and representation of a $6A$-algebra which is a vertex operator algebra generated by two Ising vectors $e,f$ with inner product $\left\langle e,f\right\rangle =\frac{5}{2^{10}}.$ In particular, we prove the uniqueness of the vertex operator algebra structure of this 6A-algebra, classify the irreducible modules, and determine the fusion rules.

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Chongying Dong, Xiangyu Jiao, Nina Yu. 2019-02-19. $6A$-Algebra and its representations. https://arxiv.org/abs/1902.06951

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