AI 中文总结
该研究将单零（OZ）VOA的Griess代数推广至强CFT型VOA，利用宫本技术结合Virasoro VOA模理论计算伊辛向量融合律，得到包含E₈对应的3876维代数的Chayet-Garibaldi代数族。
AI 中文摘要
对每个强共形场论（CFT）型的顶点算子代数（VOA），我们关联一个非结合代数，它推广了单零（OZ）VOA的Griess代数。我们利用宫本（Miyamoto）的技术，结合对应Virasoro VOA的模理论，计算该代数中伊辛（Ising）向量的融合律。这类新型代数包含Chayet-Garibaldi代数，这是一族由绝对单线性代数群构造的代数，其中包括针对E₈的3876维代数。
英文摘要
To each VOA of strong CFT type, we associate a non-associative algebra which generalizes Griess algebras of One-Zero (OZ) VOAs. We compute the fusion law of Ising vectors in this algebra using techniques from Miyamoto, leveraging the module theory of the corresponding Virasoro VOA. This new class of algebras encapsulates the Chayet-Garibaldi algebras, a family of algebras constructed from absolutely simple linear algebraic groups that includes the $3876$-dimensional algebra for $E_8$.
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