The regularization of Dotsenko--Fateev integrals
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913452026494976 |
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| author | Sussman, Ethan |
| author_facet | Sussman, Ethan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The regularization of Dotsenko--Fateev integrals Sussman, Ethan Mathematical Physics 32A20, Primary. 33C60, 33C90, 81T40, Secondary 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. |
| title | The regularization of Dotsenko--Fateev integrals |
| topic | Mathematical Physics 32A20, Primary. 33C60, 33C90, 81T40, Secondary |
| url | https://arxiv.org/abs/2308.12900 |