The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
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 accomplish...
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2024
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| Online Access: | https://hdl.handle.net/1721.1/153286 |
| _version_ | 1811086486893756416 |
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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 | 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. |
| first_indexed | 2024-09-23T13:26:41Z |
| format | Article |
| id | mit-1721.1/153286 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:26:41Z |
| publishDate | 2024 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1532862024-07-11T19:39:58Z The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals Sussman, Ethan Massachusetts Institute of Technology. Department of Mathematics 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. 2024-01-09T17:36:03Z 2024-01-09T17:36:03Z 2024-01-03 2024-01-07T04:11:43Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153286 Sussman, E. The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals. Ann. Henri Poincaré (2024). PUBLISHER_CC en https://doi.org/10.1007/s00023-023-01402-1 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | Sussman, Ethan The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title | The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title_full | The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title_fullStr | The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title_full_unstemmed | The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title_short | The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals |
| title_sort | singularities of selberg and dotsenko fateev like integrals |
| url | https://hdl.handle.net/1721.1/153286 |
| work_keys_str_mv | AT sussmanethan thesingularitiesofselberganddotsenkofateevlikeintegrals AT sussmanethan singularitiesofselberganddotsenkofateevlikeintegrals |