Asymptotic analysis of Dotsenko-Fateev integrals

Dotsenko--Fateev积分的正则化

The regularization of Dotsenko--Fateev integrals

本文通过推广Pochhammer正则化方法，解决了2D CFT中构建BPZ极小模型所需的Dotsenko--Fateev超几何积分的正则化问题，并基于奇异几何分析构造了相关同调类。

Fuchsian systems for Dotsenko-Fateev multipoint correlation functions and similar integrals of hypergeometric type

The Dotsenko-Fateev integral is an analytic function of one complex variable expressing the amplitude in the 4-point correlator of the 2D conformal field theory. Dotsenko-Fateev found ODE of third order with Fuchsian singularities satisfied by their integral. In the present paper, this work is extended to generalized Dotsenko-Fateev integrals, in particular those associated to arbitrary multipoint correlators, and Pfaff systems of PDE of Fuchsian type are constructed for them. The ubiquity of the Fuchsian systems is in that they permit to obtain local expansions of solutions in the neighborhoo…

汇合型Dotsenko-Fateev系统的渐近分析

Asymptotic analysis of the confluent Dotsenko-Fateev system

本文对二维共形场论相关的汇合型Dotsenko-Fateev系统，构造其扇形基本解矩阵并确定斯托克斯矩阵，还研究了它与量子Painlevé方程等的关联及约化性质。

Dotsenko--Fateev 积分的微分方程：退化场 $\Phi_{n,1}$ 的情形

Differential equations for Dotsenko--Fateev integrals: the case of degenerate fields $Φ_{n,1}$

本文研究了与退化场 $\Phi_{n,1}$ 相关的 Dotsenko--Fateev 积分对应的高阶微分方程，确定了其一般结构与系数，并建立了与超几何算子的联系。

Selberg型与Dotsenko-Fateev型积分的奇点

The singularities of Selberg- and Dotsenko-Fateev-like integrals

本文通过几何分析被积函数奇点，研究Selberg型与Dotsenko-Fateev型超几何积分的亚纯延拓，并证明对称或DF对称情形下的多个表观奇点可移除。

关于Selberg积分的Dotsenko-Fateev复孪生及其扩展

On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions

本文定义并计算了在复空间族上的beta积分族，当参数取特定值时，该积分族可给出Selberg积分的Dotsenko-Fateev复孪生形式。