Differential equations for Dotsenko--Fateev integrals: the case of degenerate fields $Φ_{n,1}$
Year: 2026
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Ivanova, Aleksandra
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213531590