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Conformal amplitude hierarchy and the Poincaré disk
https://oist.repo.nii.ac.jp/records/664
https://oist.repo.nii.ac.jp/records/664184f3b3d-1438-4eec-abc9-76eecd63a323
名前 / ファイル | ライセンス | アクション |
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Shimada_2018_J._Phys.__Conf._Ser._965_012036-1 (582.1 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-08-15 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Conformal amplitude hierarchy and the Poincaré disk | |||||
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) |
Shimada, Hirohiko
× Shimada, Hirohiko |
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書誌情報 |
en : Journal of Physics: Conference Series 巻 965, p. 012036, 発行日 2018-02-15 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The amplitude for the singlet channels in the 4-point function of the fundamental field in the conformal field theory of the 2d O(n) model is studied as a function of n. For a generic value of n, the 4-point function has infinitely many amplitudes, whose landscape can be very spiky as the higher amplitude changes its sign many times at the simple poles, which generalize the unique pole of the energy operator amplitude at n = 0. In the stadard parameterization of n by angle in unit of π, we find that the zeros and poles happen at the rational angles, forming a hierarchical tree structure inherent in the Poincare disk. Some relation between the amplitude and the Farey path, a piecewise geodesic that visits these zeros and poles, is suggested. In this hierarchy, the symmetry of the congruence subgroup Γ(2) of SL(2, Z) naturally arises from the two clearly distinct even/odd classes of the rational angles, in which one respectively gets the truncated operator algebras and the logarithmic 4-point functions. | |||||
出版者 | ||||||
出版者 | IOP Publishing | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1742-6588 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1742-6596 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1088/1742-6596/965/1/012036 | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | http://iopscience.iop.org/article/10.1088/1742-6596/965/1/012036/meta | |||||
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 |