The regularization of Dotsenko--Fateev integrals
Ethan Sussman
TL;DR
This paper explores a generalized regularization method for hypergeometric integrals in 2D conformal field theory, extending classical techniques to facilitate the construction of BPZ minimal models via Coulomb gas formalism.
Contribution
It introduces a new regularization approach for Dotsenko--Fateev integrals, inspired by singular-geometric analysis, advancing the mathematical tools for 2D CFT models.
Findings
Generalizes Pochhammer's regularization method
Provides a geometric construction of homology classes
Facilitates the construction of BPZ minimal models
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology