Cеминар-НИС по математической физике: Александра Иванова (унив. ВШЭ)

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

We study higher-order differential equations corresponding to integrals of the Dotsenko--Fateev type and associated with four-point correlation functions with degenerate fields Φ_{n, 1}.
We determine the general structure and coefficients of the equations in terms of the integral parameters {A, B, C, g}. In particular, special cases of these equations in CFT are used for verification.
In addition, the relationship between higher-order differential equations and hypergeometric operators is established. 
The talk is based on https://arxiv.org/abs/2609.18410   

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