The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
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23_2023_Article_1402.pdf
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Author(s)
Sussman, Ethan
Date Issued
January 3, 2024
Publisher
Springer International Publishing
Citation
Sussman, E. The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals. Ann. Henri Poincaré (2024).
Version
Final published version
Abstract
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the 3-point and 4-point functions of BPZ’s minimal models of 2D CFT as described by Felder & Silvotti and Dotsenko & Fateev (the “Coulomb gas formalism”). This is accomplished via a geometric analysis of the singularities of the integrands. In the case that the integrand is symmetric (as in the Selberg integral itself) or, more generally, what we call “DF-symmetric,” we show that a number of apparent singularities are removable, as required for the construction of the minimal models via these methods.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00023-023-01402-1
