The regularization of Dotsenko--Fateev integrals
Mathematical Physics
2024-07-31 v1 math.MP
Abstract
We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. The method is a generalization of Pochhammer's regularization of the Euler Beta-function. The constructions of the relevant homology classes are inspired by a recent singular-geometric analysis of the Dotsenko--Fateev integrand.
Keywords
Cite
@article{arxiv.2308.12900,
title = {The regularization of Dotsenko--Fateev integrals},
author = {Ethan Sussman},
journal= {arXiv preprint arXiv:2308.12900},
year = {2024}
}
Comments
20 pages, 6 figures. To appear in Lett. Math. Phys