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ファイル | 記述 | サイズ | フォーマット | |
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JHEP05(2017)070.pdf | 828.64 kB | Adobe PDF | 見る/開く |
タイトル: | Anatomy of geodesic Witten diagrams |
著者: | Chen, Heng-Yu Kuo, En-Jui Kyono, Hideki |
著者名の別形: | 京野, 秀紀 |
キーワード: | AdS-CFT Correspondence Conformal Field Theory |
発行日: | May-2017 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2017 |
論文番号: | 70 |
抄録: | We revisit the so-called “Geodesic Witten Diagrams” (GWDs) [1], proposed to be the holographic dual configuration of scalar conformal partial waves, from the perspectives of CFT operator product expansions. To this end, we explicitly consider three point GWDs which are natural building blocks of all possible four point GWDs, discuss their gluing procedure through integration over spectral parameter, and this leads us to a direct identification with the integral representation of CFT conformal partial waves. As a main application of this general construction, we consider the holographic dual of the conformal partial waves for external primary operators with spins. Moreover, we consider the closely related “split representation” for the bulk to bulk spinning propagator, to demonstrate how ordinary scalar Witten diagram with arbitrary spin exchange, can be systematically decomposed into scalar GWDs. We also discuss how to generalize to spinning cases. |
著作権等: | © The Author(s) 2017 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/227554 |
DOI(出版社版): | 10.1007/JHEP05(2017)070 |
出現コレクション: | 学術雑誌掲載論文等 |
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