The VOAs generated by two Ising vectors e and f with <e,f>=1/2^8 or 3/2^9
Wen Zheng
TL;DR
This paper investigates vertex operator algebras generated by two specific Ising vectors with particular inner products, establishing their unique algebraic structures.
Contribution
It determines the unique VOA structures generated by two Ising vectors with inner products 1/2^8 or 3/2^9, providing new insights into their algebraic properties.
Findings
VOAs generated by two Ising vectors with <e,f>=1/2^8 have a unique structure.
VOAs generated by two Ising vectors with <e,f>=3/2^9 also have a unique structure.
Abstract
In this paper we study the VOAs generated by two Ising vectors whose inner product is 1/2^8 or 3/2^9 and determine they both have unique VOA structures.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Combinatorial Mathematics · Advanced Topics in Algebra