关于(2,p)极小模型:p > 3的W-代数扩张
On W-algebra extensions of (2,p) minimal models: p > 3
摘要:
这是arXiv:0908.4053的延续,其中,我们对三重顶点代数W_{2,3}的不可约表示进行了分类。在这一部分中,我们将分类扩展到W_{2,p},对于所有奇数p>3。我们还确定了Zhu代数A(W_{2,p})的中心的结构,这意味着存在一族L(0)-幂零秩为2和3的对数模.对数形式的Macdonald-Morris常数项恒等式在本文中起着关键作用。
英文摘要:
This is a continuation of arXiv:0908.4053, where, among other things, we classified irreducible representations of the triplet vertex algebra W_{2,3}. In this part we extend the classification to W_{2,p}, for all odd p>3. We also determine the structure of the center of the Zhu algebra A(W_{2,p}) which implies the existence of a family of logarithmic modules having L(0)-nilpotent ranks 2 and 3. A logarithmic version of Macdonald-Morris constant term identity plays a key role in the paper.
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。