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Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations
http://hdl.handle.net/2297/44382
http://hdl.handle.net/2297/443824912a47f-de64-40a3-a523-57dd8c50dde9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SC-PR-NAGOYA-H-123505.pdf (806.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Nagoya, Hajime
× Nagoya, Hajime |
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| 書誌情報 |
Journal of Mathematical Physics 巻 56, 号 12, p. 123505, 発行日 2015-12-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0022-2488 | |||||
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| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA00701758 | |||||
| DOI | ||||||
| 関連タイプ | isIdenticalTo | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | 10.1063/1.4937760 | |||||
| 出版者 | ||||||
| 出版者 | American Institute of Physics | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We develop the theory of irregular conformal blocks of the Virasoro algebra. In previous studies, expansions of irregular conformal blocks at regular singular points were obtained as degeneration limits of regular conformal blocks; however, such expansions at irregular singular points were not clearly understood. This is because precise definitions of irregular vertex operators had not been provided previously. In this paper, we present precise definitions of irregular vertex operators of two types and we prove that one of our vertex operators exists uniquely. Then, we define irregular conformal blocks with at most two irregular singular points as expectation values of given irregular vertex operators. Our definitions provide an understanding of expansions of irregular conformal blocks and enable us to obtain expansions at irregular singular points. As an application, we propose conjectural formulas of series expansions of the tau functions of the fifth and fourth Painlevé equations, using expansions of irregular conformal blocks at an irregular singular point. © 2015 AIP Publishing LLC. | |||||
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| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
