The regularization of Dotsenko–Fateev integrals
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11005_2023_Article_1717.pdf
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Author(s)
Sussman, Ethan
Date Issued
September 16, 2023
Publisher
Springer Netherlands
Citation
Letters in Mathematical Physics. 2023 Sep 16;113(5):100
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s11005-023-01717-4