Uniqueness of VOA Structure of 3C-Algebra and 5A-Algebra
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Uniqueness of VOA Structure of 3C-Algebra and 5A-Algebra

Abstract

In this thesis, we study the structure of 3C-algebra and 5A-algebra constructed byLam-Yamada-Yamauchi. We mainly use relevant braiding matrices to establish the uniqueness of the vertex operator algebra structure of these two algebras. Besides, we also give the fusion rules for these two algebras.

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