论文标题

不规则的liouville相关器和Heun功能的连接公式

Irregular Liouville correlators and connection formulae for Heun functions

论文作者

Bonelli, Giulio, Iossa, Cristoforo, Lichtig, Daniel Panea, Tanzini, Alessandro

论文摘要

我们对liouville共形场理论中的一类不规则相关因子,与不规则奇异性及其连接公式相关的virasoro共形块进行了详细研究。考虑到它们的半古典限制,我们为HEUN功能及其一类汇合的连接矩阵提供明确的表达。它们的计算减少为从形成块扩展的混凝土组合公式。

We perform a detailed study of a class of irregular correlators in Liouville Conformal Field Theory, of the related Virasoro conformal blocks with irregular singularities and of their connection formulae. Upon considering their semi-classical limit, we provide explicit expressions of the connection matrices for the Heun function and a class of its confluences. Their calculation is reduced to concrete combinatorial formulae from conformal block expansions.

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