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MHV graviton scattering amplitudes and current algebra on the celestial sphere
https://oist.repo.nii.ac.jp/records/2052
https://oist.repo.nii.ac.jp/records/2052bfe3a83a-e803-4997-8cd0-4a8087128437
名前 / ファイル | ライセンス | アクション |
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Banerjee-2021-MHV graviton scattering amplitud (941.7 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 | 2021-05-12 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | MHV graviton scattering amplitudes and current algebra on the celestial sphere | |||||
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) |
Banerjee, Shamik
× Banerjee, Shamik× Ghosh, Sudip× Paul, Partha |
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書誌情報 |
en : Journal of High Energy Physics 巻 2021, p. 176, 発行日 2021-02-22 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The Cachazo-Strominger subleading soft graviton theorem for a positive helicity soft graviton is equivalent to the Ward identities for [Formula: see text] currents. This naturally gives rise to a [Formula: see text] current algebra living on the celestial sphere. The generators of the [Formula: see text] current algebra and the supertranslations, coming from a positive helicity leading soft graviton, form a closed algebra. We find that the OPE of two graviton primaries in the Celestial CFT, extracted from MHV amplitudes, is completely determined in terms of this algebra. To be more precise, 1) The subleading terms in the OPE are determined in terms of the leading OPE coefficient if we demand that both sides of the OPE transform in the same way under this local symmetry algebra. 2) Positive helicity gravitons have null states under this local algebra whose decoupling leads to differential equations for MHV amplitudes. An n point MHV amplitude satisfies two systems of (n − 2) linear first order PDEs corresponding to (n − 2) positive helicity gravitons. We have checked, using Hodges’ formula, that one system of differential equations is satisfied by any MHV amplitude, whereas the other system has been checked up to six graviton MHV amplitude. 3) One can determine the leading OPE coefficients from these differential equations. This points to the existence of an autonomous sector of the Celestial CFT which holographically computes the MHV graviton scattering amplitudes and is completely defined by this local symmetry algebra. The MHV-sector of the Celestial CFT is like a minimal model of 2-D CFT. |
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出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1029-8479 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1126-6708 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/JHEP02(2021)176 | |||||
権利 | ||||||
権利情報 | © The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/JHEP02(2021)176 | |||||
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 |