关于正有理水平上sl_2型扩张W-代数
On the extended W-algebra of type sl_2 at positive rational level
摘要：
正有理水平上的sl_2型扩展W-代数记为M_{p_+,p_-}，它是文献[1]中提出的一个顶点算子代数.这种顶点算子代数是极小模型顶点算子代数的推广，并对某些对数共形域论起对称代数的作用。本文利用屏蔽算子构造了M_{p_+,p_-}，并利用这个构造证明了M_{p_+,p_-}满足朱氏c_2-有限性条件，计算了零模代数（也称为朱氏代数）的结构，并对所有简单的M_{p_+,p_-} -模进行了分类.
英文摘要：
The extended W-algebra of type sl_2 at positive rational level, denoted by M_{p_+,p_-}, is a vertex operator algebra that was originally proposed in [1]. This vertex operator algebra is an extension of the minimal model vertex operator algebra and plays the role of symmetry algebra for certain logarithmic conformal field theories. We give a construction of M_{p_+,p_-} in terms of screening operators and use this construction to prove that M_{p_+,p_-} satisfies Zhu's c_2-cofiniteness condition, calculate the structure of the zero mode algebra (also known as Zhu's algebra) and classify all simple M_{p_+,p_-}-modules.
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。
