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Punctures and p-Spin Curves from Matrix Models
https://oist.repo.nii.ac.jp/records/1618
https://oist.repo.nii.ac.jp/records/1618e9567b8d-3850-4d3d-ae4f-bd4793a44f03
名前 / ファイル | ライセンス | アクション |
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Brezin-2020-Punctures and p-Spin Curves from M (491.6 kB)
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Creative Commons Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-07-14 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Punctures and p-Spin Curves from Matrix Models | |||||
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(英) |
Brézin, E.
× Brézin, E.× Hikami, S. |
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書誌情報 |
en : Journal of Statistical Physics 発行日 2020-06-06 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | This article investigates the intersection numbers of the moduli space of p-spin curves with the help of matrix models. The explicit integral representations that are derived for the generating functions of these intersection numbers exhibit p Stokes domains, labelled by a “spin”-component l taking values l=−1,0,1,2,...,p−2. Earlier studies concerned integer values of p, but the present formalism allows one to extend our study to half-integer or negative values of p, which turn out to describe new types of punctures or marked points on the Riemann surface. They fall into two classes: Ramond (l=−1), absent for positive integer p, and Neveu–Schwarz (l≠−1). The intersection numbers of both types are computed from the integral representation of the n-point correlation functions in a large N scaling limit. We also consider a supersymmetric extension of the random matrix formalism to show that it leads naturally to an additional logarithmic potential. Open boundaries on the surface, or admixtures of R and NS punctures, may be handled by this extension. | |||||
出版者 | ||||||
出版者 | Springer | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-4715 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1572-9613 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/s10955-020-02581-5 | |||||
権利 | ||||||
権利情報 | © 2020 The Author(s). | |||||
情報源 | ||||||
関連名称 | https://creativecommons.org/licenses/by/4.0/ | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/s10955-020-02581-5 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |