Orbifold顶点算子代数$L_{\widehat{\frak{sl}_2}}(k,0)^{\mathbb{Z}_3}$的表示与融合规则
Representations and fusion rules for the orbifold vertex operator algebras $L_{\widehat{\frak{sl}_2}}(k,0)^{\mathbb{Z}_3}$
摘要：
对于循环群$\mathbb{Z}_3$和正整数$k$，研究了轨道二重顶点算子代数$L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$的表示.对$L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$的所有不可约模进行了分类并明确地构造了它们。完全确定了Orbifold顶点算子代数$L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$的量子维数和融合规则。
英文摘要：
For the cyclic group $\mathbb{Z}_3$ and positive integer $k$, we study the representations of the orbifold vertex operator algebra $L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$. All the irreducible modules for $L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$ are classified and constructed explicitly. Quantum dimensions and fusion rules for the orbifold vertex operator algebra $L_{\widehat{\mathfrak{sl}_2}}(k,0)^{\mathbb{Z}_3}$ are completely determined.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
