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A unitary vertex operator algebra arising from the 3C-algebra
Xiangyu Jiao, Wen Zheng
We give an algebraic proof of the unitarity of the vertex operator algebra and of all its irreducible ordinary modules, using a coset realization ar…
Sub-structure in module category of Virasoro vertex operator algebras
Qirui Fang, Yu Teng, Yukun Xiao +1
We determine all premodular subcategories and modular tensor subcategories in the module categories of Virasoro vertex operator algebras and the module categories of…
Vertex operator algebras generated by two Ising vectors
Xiangyu Jiao, Wen Zheng
In this paper we mainly study the vertex operator algebra generated by two Ising vectors and with . We…
Uniqueness of VOA structure of 3C-algebra and 5A-algebra
Chongying Dong, Wen Zheng
The structure of 3C-algebra and 5A-algebra constructed by Lam-Yamada-Yamauchi is studied and the uniqueness of the vertex operator algebra structure of these two algebras is establ…
The VOAs generated by two Ising vectors e and f with <e,f>=1/2^8 or 3/2^9
Wen Zheng
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.