PreprintCC BY 4.0arXiv
Differential equations for Dotsenko--Fateev integrals: the case of degenerate fields Φn,1
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 Φn,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.
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BibTeX
@misc{ivanova2026differential,
title = {{Differential equations for Dotsenko--Fateev integrals: the case of degenerate fields $Φ_n,1$}},
author = {Aleksandra Ivanova},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18410},
eprint = {2609.18410},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18410},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Differential equations for Dotsenko--Fateev integrals: the case of degenerate fields Φ_n,1
AU - Aleksandra Ivanova
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18410
UR - https://arxiv.org/abs/2609.18410
AB - 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.
ER -