The regularization of Dotsenko–Fateev integrals
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 cons...
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2023
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| Online Access: | https://hdl.handle.net/1721.1/152205 |
| _version_ | 1826207461623726080 |
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| author | Sussman, Ethan |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Sussman, Ethan |
| author_sort | Sussman, Ethan |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:50:19Z |
| format | Article |
| id | mit-1721.1/152205 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:50:19Z |
| publishDate | 2023 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1522052024-01-12T21:23:09Z The regularization of Dotsenko–Fateev integrals Sussman, Ethan Massachusetts Institute of Technology. Department of Mathematics 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. 2023-09-22T18:26:44Z 2023-09-22T18:26:44Z 2023-09-16 2023-09-17T03:10:18Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/152205 Letters in Mathematical Physics. 2023 Sep 16;113(5):100 PUBLISHER_CC en https://doi.org/10.1007/s11005-023-01717-4 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Sussman, Ethan The regularization of Dotsenko–Fateev integrals |
| title | The regularization of Dotsenko–Fateev integrals |
| title_full | The regularization of Dotsenko–Fateev integrals |
| title_fullStr | The regularization of Dotsenko–Fateev integrals |
| title_full_unstemmed | The regularization of Dotsenko–Fateev integrals |
| title_short | The regularization of Dotsenko–Fateev integrals |
| title_sort | regularization of dotsenko fateev integrals |
| url | https://hdl.handle.net/1721.1/152205 |
| work_keys_str_mv | AT sussmanethan theregularizationofdotsenkofateevintegrals AT sussmanethan regularizationofdotsenkofateevintegrals |